The graph below represents an employee's earnings based on units sold. What can be interpreted from the slope of this graph?
A.
The employee earns an additional $100 for every one unit sold.
B.
The employee earns an additional $100 for every ten units sold.
C.
The employee earns an additional $1,000 for every one unit sold.
D.
The employee earns an additional $31,000 for every ten units sold.
Answers
Answer:
A
Step-by-step explanation:
From inspection of the graph, we can see that every time the x-value increases by 10, the y-value increases by 1000.
So, the employee earns an additional $1000 for every 10 units sold.
To calculate how much the employee earns for every 1 unit sold, divide $1000 by 10:
1000 ÷ 10 = 100
Therefore, the employee earns an additional $100 for every one unit sold.
Proof
This can be proved by calculating the slope (gradient) of the graph:
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex]\sf (x_1,y_1)[/tex] and [tex]\sf (x_2,y_2)[/tex] are two points on the line
When picking the two points, remember that the y-values are in thousands of dollars.
Two points on the line:
(0, 30000) and (20, 32000)
Substituting these into the formula:
[tex]\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100[/tex]
Therefore, the employee earns an additional $100 for every one unit sold.
Related Questions
Please help me with this question. Worth 90 points.
Answers
Answer:
3510000
Step-by-step explanation:
Answer:
3510000
Step-by-step explanation:
234,000×6percent
that answer*3percent then substract that 3 percent from . the number before multiplied it by three percent
Write an equation in standard form of the hyperbola described.
Vertex (10, 0); focus (-26, 0); center (0,0)
Answers
Check the picture below, so the hyperbola looks more or less like the one below, let's find the conjugate axis or namely the "b" component.
[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=0\\ k=0\\ a=10\\ c=26 \end{cases}\implies \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 26^2=10^2+b^2\implies 676=100+b^2\implies \underline{576=b^2} \\\\\\ \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{576}\implies \boxed{\cfrac{x^2}{100}-\cfrac{y^2}{576}}[/tex]
Simplify.
Rewrite the expression in the form a”.
(a”)? = 1
Please needhelp urgently
Answers
Answer:
just randomly write a¹⁰
How to graph (x-2)(y-3)=0
Answers
Answer:
This is what it should look like. The slope is 0 and there are two points. (0,3) (1,3)
The sum of two numbers is 55. Their difference is −1. Find the numbers.
Answers
Step-by-step explanation:
lets say the first is x and the second is y then we can say
x+y=55 ......1
x-y= -1 .......2
by adding 1 with 2 then
x+y+x-y=55+(-1)
==> 2x= 55-1=54
==> x= 54/2=28
if we put x=28 in the 2nd equation then
28-y= -1
==> y=29
Solve the system by graphing.
What is the solution of y=-x+4 and y=3/5x+4
Answers
Answer:
x=0 and y=4 thats where the points meet
Step-by-step explanation:
solution of x and y:
both equations equal to y so you can put them together
3/5x+4=-x+4
separate the variables and numbers...
1.6x=0
x=0
y=4
if ur using a graph, use the y intercept (0,4) for your first point
then, using y=-x+4, make -x a fraction -1/1
by using rise/run go down one unit from (0,4) since its negative 1
then one unit to the right from where you are
you should be able to connect the points for the first equation
find the second equation on your own now:)
Which decimal is greater: 4.58 or 4.5?
Answers
Answer
Since 3 is greater than 0 we know that 7.835 is greater than 7.8. We follow the same process to find that 7.35 is less than 7.358. Then we can put the number
There you go I hope that helps and have a great day
Ama and Kwame shared an amount of money.
If Ama received one third of the money. Which
fraction is for Ama's share?
Answers
2/3
Or two thirds
Explanation:
1-1/3 is 2/3
Please mark brainliest.
You and your friend are standing on the baseline of a
basketball court. You bounce a basketball to your friend, as shown in the diagram. What is the
distance between you and your friend? Round your answer to the nearest tenth.
Answers
The distance between you and your friend rounded to the nearest tenth is 10.7 feet.
How to find the length of a triangle using cosine rule?The distance between you and your friend can be found using cosine rule.
Therefore,
c² =a² + b² - 2ab cos C
Therefore,
let
x = distance between him and his friend
x² = 7² + 6² - 2 × 7 × 6 cos 110°
x² = 49 + 36 - 84 × -0.34202014332
x² = 49 + 36 + 28.7296920394
x² = 113.729692039
x = √113.729692039
x = 10.6644124076
x = 10.7 ft
learn more on triangle here: https://brainly.com/question/2838446
Which is the best example of an out-of-pocket cost?
A. A claim
B. A benefit
C. A deductible
D. A repair estimate
Answers
A best example of an out-of-pocket cost is: C. A deductible.
What is an Out-of-Pocket Cost?An out-of-pocket cost can be described as a cost you pay from your own personal reserve, which may include coinsurance, deductibles, copays, and some services covered by an individual's health plan.
Out-of-pocket cost may be reimbursed.
Thus, a best example of an out-of-pocket cost is: C. A deductible.
Learn more about out-of-pocket cost on:
https://brainly.com/question/26217317
Answer: C. A deductible
Step-by-step explanation:
A demolition crew can do a job in 10 days. Another demolition crew can do the same job in 15 days. How many days would it take the two crews to do the job if they work together?
Answers
Answer:
6 days
Step-by-step explanation:
In one day, one demolition crew:
One day = [tex]\frac{1}{10} x[/tex] with x = the entire job
Other demolition crew:
One day = [tex]\frac{1}{15} x[/tex]
Together, they do it in [tex]\frac{1}{10}x\\[/tex] + [tex]\frac{1}{15}x[/tex] = [tex]\frac{3}{30}x + \frac{2}{30}x = \frac{5}{30}x[/tex] [tex]= \frac{1}{6}x[/tex] in one day
So [tex]\frac{1}{6}x[/tex] x 6 = x
so it takes 6 days to complete the work together.
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Do the graph and table to find the equation that represents the relationship for each of the 2 questions! :)
Answers
Answer:
1) y=x-4
2)y=x+2
Step-by-step explanation:
You can see on the first one y is just 4 less than x
You can see that the second one (graph) has a slope. As by the points, if you increase x by 0.5 you increase y by one.
Thus, y=x+2
Hope this helped! I can't see much of the question :)
What is the elapsed time and estimated time
Answers
Answer:
The formula for calculating elapsed time is elapsed time = end time – start time. Subtract the minutes and hours separately. For example to calculate the elapsed time between 12:10 and 16:40, subtract 12:10 from 16:4. Looking at the hours, 16 – 12 = 4 and looking at the minutes, 40 – 10 = 30.
what is the fewest numbers of sides a polygon can have. why?
Answers
Financial Literacy Paul earns $25 for grooming a dog plus $18.50
per day for boarding the same dog.
e. Write an equation to find the amount of money Paul earned m
for grooming a dog once and boarding it for any number of days d.
f. Make a table to find his earnings for 5, 6, 7, or 8 days. Then graph
the ordered pairs.
Answers
Answer:
e): m=18.50d + 25
Step-by-step explanation:
|x+1|+|x-2|=3
WHAT IS THE ANSWER??
Answers
Answer:
-1 ≤ x ≤ 2
Step-by-step explanation:
The given equation can be rewritten as a piecewise function and solved in pieces.
The term |x+1| changes definition at x=-1. For x-values less than that, it is defined as -(x+1). Similarly, the term |x-2| changes definition at x=2. For x-values less than that, its definition is -(x-2). In the following, we consider the three pieces of the function.
__
x < -1In this domain, the absolute value functions both have negative arguments, so the equation is effectively ...
-(x +1) -(x -2) = 3
-2x +1 = 3 . . . . . . . simplify
-2x = 2 . . . . . . subtract 1
x = -1 . . . . divide by -2
This value of x is not in the domain we have defined, so there is no solution in this domain.
__
-1 ≤ x ≤ 2In this domain, the function |x+1| has a non-negative argument, but the function |x-2| has a non-positive argument. The equation is effectively ...
(x +1) -(x -2) = 3
x -x +1 +2 = 3 . . . . . eliminate parentheses, group like terms
3 = 3 . . . . . . . . . true for the entire domain
The solution here is -1 ≤ x ≤ 2.
__
2 < xBoth absolute value terms have positive arguments in this domain, so the equation is effectlvely ...
(x +1) +(x -2) = 3
2x -1 = 3 . . . . . simplify
2x = 4 . . . . add 1
x = 2 . . . . divide by 2
This value of x is not in the domain we have defined, so there is no solution in this domain.
__
The solution to the given equation is -1 ≤ x ≤ 2.
Find N in this equation: N X 4 divided by 2 + 5 - 1 = 20
Answers
Hi!
4n/2+5-1=202n+4=202n=20-42n=16n=8(n-1 +7) simplify plssss helppp
Answers
Answer: n+6
-1 + 7 = 6
So therefore, the answer is n+6
Hope this helped
Answer:
[tex]\boxed{\sf{n+6}}[/tex]Step-by-step explanation:
To solve this problem, first, you have to do is isolate it on one side of the equation.
(n-1+7)First, remove parentheses.
→ n-1+7
Add the numbers from left to right.
→ -1+7=6
→ n+6
Therefore, the final answer is n+6.I hope this helps you! Let me know if my answer is wrong or not.
The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side of the rectangle. The perimeter of the rectangle is equal to 56cm. Find the lengths of each side of the rectangle
Answers
Answer:
smaller side: 10 cmlarger side: 18 cmStep-by-step explanation:
The given relationships can be translated to equations using L and W for the length and width of the rectangle. The distance from the center to the short side is L/2, and the distance from the center to the long side is W/2.
SetupP = 2(L +W) . . . . . formula for the perimeter
56 = 2(L +W) . . . . . the perimeter is 56 cm
L/2 = 4 + W/2 . . . . . distance to short side is 4 cm longer
__
SolutionDividing the first equation by 2 gives ...
28 = L +W
Multiplying the second equation by 2 gives ...
L = 8 + W
Substituting for L in the first equation, we have ...
28 = (8 +W) +W . . . . . . use L=8+W
20 = 2W . . . . . . . . .subtract 8
10 = W . . . . . . . . divide by 2
L = 8 +10 = 18 . . . . . find the length
__
The smaller side is 10 cm; the larger side is 18 cm.
The number 111…111 (100 ones) is multiplied by 101. The resulting number is then also multiplied by 101. The number obtained in the second step is again multiplied by 101. What is the sum of the digits of the number obtained in the third step?
Answers
Answer:
800
Step-by-step explanation:
The three multiplication steps are equivalent to multiplying by ...
101³ = 1030301
The sum of digits of the product will be the sum of digits of the partial products, since none of the digit-by-digit multiplications results in a product that is more than 10.
The sum of digits of the third product is ...
(1 × 100) × (1 + 3 + 3 + 1) = 800
What’s 8.4 cm converted to in.
Answers
Answer:
3.30709
Step-by-step explanation:
FORMULA :
divide the length value by 2.54
8.4 ÷ 2.54
= 3.30709
Moving with a speed of v km/hour, a steam boat travels the distance between the
points A and B, which is 200 km, in t hours.
Find the formula which describes t as a function of v.
Answers
Answer:
t = 200/v
Step-by-step explanation:
The relationship between speed, distance, and time is ...
d = vt
Solving for t gives ...
t = d/v
For a distance of d=200 km, the time in hours will be ...
t = 200/v . . . . . . where v has units of km/hour
A truck carries a load of 50 boxes;some are 20kg boxes and the rest are 25kg boxes. if the total weight of all boxes is 1175 kg, how many of each type are there?
Answers
total number of boxes= 50
weight of all the boxes= 1175
some boxes= 25kg
and the rest= 20kg
to find:how many of each type are there.
solution:Let the number of the 20kg boxes = x
and the number of the 25kg boxes = (50-x)
so,
20×(x) + 25×(50-x)
= 1175
20x + 1250 - 25x
= 1175
- 5x = - 75 => x = (-75)/(-5)
= 15
(50–15)
= 35
therefore, 20 kg boxes are 15 and 25 kg boxes are 35.
Evaluate x3 - x + x0 for x = -1.
Answers
multiply (-3)+1+0
simplify. -2
Final Answer: -2
In 2014, the population of a state was approximately 1,624,000. If the population decrease was about 0.59%, find the population of the state in 2016.
Answers
Answer:
1,614,312.
Step-by-step explanation:
0.59% = 0.0059 as a decimal fraction.
Population in 2016 = 1,624,000 - 0.0059 * 1,624,000
= 1614312
A sample of 36 people yielded the information about their health insurance in the table to the right.
Two people who provided information for the table were selected at random, without replacement. Find the probability that neither had traditional insurance.
Answers
The probability that neither of the two people selected have traditional insurance is 0.33.
What is the probability that neither had traditional insurance?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that neither of the two people selected have traditional insurance = (number of people that chose manage care plan + number of people who dont have any insurance) / total number of people surveryed x [(number of people that chose manage care plan + number of people who dont have any insurance) / total number of people surveryed - 1]
21/36 x 20/35 = 0.33
Please find attached the table. To learn more about probability, please check: https://brainly.com/question/13234031
Please help me with Part C of this question
Answers
Answer:
14-18 minutes
Step-by-step explanation:
Part a is 32 inches per minute
part b is 252 inches per minute
The question asks the change in elevation fastest, in part b 252 is greater than 32 so 14-18 minutes is the answer.
Answer:
14-18 minutes
Step-by-step explanation:
Part a is 32 inches per minute and part b is 252 inches per minute
this question asks the change in elevation fastest, in part b 252 is greater than 32 so 14-18 minutes is the answer.
Write an expression for the area of the following regular polygon?
Answers
Answer:
126x - 42x²
Step-by-step explanation:
Finding the necessary information
P = Perimeter = 6(6 - 2x) = 36 - 12xa = 7xArea
1/2 x (36 - 12x) x 7x(18 - 6x) x 7x126x - 42x²Rylee read 36 pages of a book before putting
it down for a month. She wants to resume
reading the book that is more than 480 pages
long. She plans on finishing the book in
12 days, reading the same amount each day.
5. Which inequality can be used to determine,
p, the number of pages that Rylee must read
P
each day to attain her goal?
A. 12p - 36 < 480
B. 12p + 36 < 480
C. 12p - 36 > 480
D. 12p + 36 > 480
-
Answers
Answer:
D. 12p + 36 > 480
Step-by-step explanation:
The number of pages read is the sum of the number already read (36) and the product of the number read each day (p) and the number of days (12). Rylee wants this number of pages read to be more than 480.
__
The inequality expressing a sum greater than 480 is ...
12p +36 > 480 . . . . choice D
Which one has the same volume
Answers
Answer:
u should've cropped out ur name
Step-by-step explanation:
The equation that defines 'x' as a function of 'y' will be x = 5 - 3y. Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Let's check all the options, then we have
A. x = 5 - 3y, the independent variable is 'y' and the dependent variable is 'x'.
B. y = 0x + 5, the independent variable is 'x' and the dependent variable is 'y'.
C. x² + y² = 2, it is not a function because the number of values of 'x' and 'y' will be two.
D. x² = y, it is not a function because the number of values of 'x' will be two.
The equation that defines 'x' as a function of 'y' will be x = 5 - 3y. Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ7
