A clothing business finds there is a linear relationship between the number of shirts, n ,it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $66, while 10000 shirts can be sold at a price of $48. Give a linear equation in the form p

Answers

Answer 1

Answer: p = [tex]\frac{-n}{500} +68[/tex]

Step-by-step explanation:

Let n represent the number of shirts and p represent the price, the there is a linear relationship between n and p, then the model equation is given as:

p = mn + b, where

m = slope and b is the intercept

From the question, when n = 1000, p = $66

And, when n = 10,000 , p = $48

The formula for finding slope is given as:

m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

[tex]y_{1} = 66[/tex]

[tex]y_{2} = 48[/tex]

[tex]x_{1} = 1000[/tex]

[tex]x_{2} = 10000[/tex]

substituting the values,

m = [tex]\frac{48-66}{10000-1000}[/tex]

m = [tex]\frac{-18}{9000}[/tex]

m = [tex]\frac{-2}{1000}[/tex]

m = [tex]\frac{-1}{500}[/tex]

The linear equation thus becomes

p = [tex]\frac{-n}{500}+b[/tex]

To find the value of b, substitute  p = 66 and n =1000 into the equation

That is,

66 = [tex]\frac{-1000}{500}+b[/tex]

66 = -2 + b

68 = b

Therefore b = 68

The linear equation is therefore

p = [tex]\frac{-n}{500} +68[/tex]


Related Questions

2. Round 459 to the nearest hundred.
O
460
450
500
400

Answers

Answer:

The answer is 500

Step-by-step explanation:

When you round to the hundred, you look at the 10s place. If the 10s place is 5,6,7,8, or 9, you round the hundred up. In this case, it is 459 so you would round up to 500. Have a nice day!!!

8 kg of potatoes and 5 kg of carrots cost $28 whereas 2 kg of potatoes and 3 kg of carrots cost $11.20. Find the cost of 1 kg of each item.
also give the explanation.​

Answers

Answer:

Step-by-step explanation:

Cost of 1 kg of Potatoes = $ 2

Cost of 1 kg of Carrots = $ 2.40

Let the cost of 1 kg of Potatoes = x

Let the cost of 1 kg of Carrots = y

ATQ , 8x + 5y = 28 - 1)

2x + 3y = 11.20 - 2)

Multiplying 2) by 4

8x + 12y = 44.80 - 3)

Applying Elimination method in 1) and 3)

8x + 5y = 28.00

8x + 12y = 44.80

0 + -7y = - 16.80

y = 16.8/7

y = 2.4

Putting the value of "y" in 1)

8x + 5(2.4) = 28

8x + 12 = 28

8x = 16

x = 16/8

x = 2

hello i need the answer what is the product of 15/16

Answers

Answer:

The product is 240.

Step-by-step explanation:

The product is always when you multiply numbers together.

Answer:

Using 15 times table, we have 15 times 8 = 15 × 8 = 120. Hence, 15 times 8 is 120. b) First, we will write 15 times 7 minus 5 mathematically.

Table of 15 up to 20.

15 × 11 = 165 15 × 16 = 240

15 × 14 = 210 15 × 19 = 285

15 × 15 = 225 15 × 20 = 300

Step-by-step explanation: Hope this help!

Hi Hawk1amon I saw you answer my question but it been a long time on the question for me not to text anymore so I can’t say hi back. Plus I don’t use Brainly.com anymore right now but I do check it sometime, I don’t know if you even going to see this but it ok

Find the slope of the line that contains the following pair of
points:
(-3,-4) and (3,-2).

Answers

Answer:

1/3

Step-by-step explanation:

gradient or slope = m

m = change in y ÷ change in x

= (-4 - -2) ÷ (-3 - 3)

= (-4 + 2) ÷ (-3 - 3)

= -2 ÷ -6

= 1/3


What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

Step-by-step explanation:

y coordinate

m = slope

x = x coordinate

b = y intercept



An ant moves at 14 cm a min. How many minutes will it take him to travel 10 points
364 cm? What is the time ? (Write your answer in "t=" form)

Answers

Answer:

26 minutes/ t=26

Step-by-step explanation:

F) c=14t

S) 364=14t

E) t=26

Yo can y'all help me with this I already did it on another paper. It would be very helpful if it was a step by step explanation take 100 points brother

Answers

Answer:

there is no question if you provide one in comments I will edit my answer to answer the question

Step-by-step explanation:

Write the expression 44(4-7)(4) using a single
exponent.
O
4-28
044
X
4-3
O 4-2
RETRY

Answers

>> Exponent

___________

[tex] \: [/tex]

[tex] {4}^{4} ( {4}^{ - 7} )(4) = ...[/tex]

[tex] = {4}^{4 + ( - 7) + 1} [/tex]

[tex] = {4}^{ - 3 + 1} [/tex]

[tex] = \bold{{4}^{ - 2} } \to({ \sf{d.}})[/tex]

Two more than a number is the same as 16 decreased by 6 times the number. Find the number.

Answers

Answer:

X+2=16-6x

X=14-6x

Add 6x on both sides.

7x=14

Divide both sides by 7.

X=2

HELP I NEED AN ANSWER ASAP!! IM BEING TIMED!!

For this year‘s prom, 35/12 grade students and 28th 11th grade students voted on the theme. The segment take a bar graph below shows the distribution of responses.

Based on the segmented bar graph, does there appear to be an associates between grade level and prom theme?

A yes, there is a different number of students in each class.
B yes, it appears that the 12th grade students prefer the 1920s more than the 11th grade students, and prefer the beach party less.
C no, both distributions of student preferences have the same four categories.
D no, both distributions of student preferences have about the same preference for each of the prom themes.
E no, by the same number of students in each class. Preferred winter wonderland and masquerade ball as prom themes.

Answers

Answer:

B

Step-by-step explanation:

Logically and if you observe the graph closely ┐( ∵ )┌

The answer is yes, there appears to be an association between grade level and prom theme based on the segmented bar graph. The Option B is correct

Is there an association between grade level and prom theme?

The graph shows that 12th-grade students prefer the 1920s theme more than the 11th-grade students do, and they also have a lower preference for the beach party theme. This indicates a difference in preferences between the two grade levels for these specific prom themes.

This graph provide information on whether both distributions have the same four categories or whether they have the same preference for each of the prom themes, so, its indicate whether the number of students in each class is the same or not.

Read more about Graph

brainly.com/question/19040584

#SPJ3

the line through (6, 1) and (-3,5) in
slope-intercept form

Answers

Answer: y = -4/9x + 11/3

Step-by-step explanation:

Find the value of x, and please explain how you got x

Answers

x equals to 48

The work is shown in the picture. I hope this helps.

8= -2/5c c=
What does c= ?

Answers

Answer:

c = -20

Step-by-step explanation:

8/-0.4=-20.

8 = (-2/5) * 20


ndjsjdjdjdjdjjxndjxjusnsu j

Answers

Answer:

B

Step-by-step explanation:

bcoz sin and cos 45 have 1/root2

Answer:

B. 45°

Step-by-step explanation:

sin(45) = √2/2

cos(45) = √2/2

2 3/5 + 5 1/4 in a fraction

Answers

Step-by-step explanation:

[tex]2\frac{3}{5} +5\frac{1}{4}[/tex]

= [tex]\frac{13}{5} +\frac{21}{4}[/tex]

= [tex]\frac{52 + 105}{20}[/tex]

= [tex]\frac{157}{20}[/tex] Or [tex]7\frac{17}{20}[/tex]

Please give me a brainliest answer

Lisa baked d cookies. Her family ate 20 of them. Using d, write an expression for the number of cookies that remained.

Answers

Answer:

d - 20 = r

r = remaining amount

Answer:

l=d-20

Step-by-step explanation:

use l for leftover cookies.

l=d-20

Hope this helps!

Equivalent (-1)+10+9 please

Answers

Answer:

18

Step-by-step explanation:

1) Simplify the expression

-1 + 10 + 9

9 + 9

18

5/14 x 4/7 in the simplist form

Answers

It is 10/49 it can’t be simplified further please mark me brainliest

Answer:

10/49

Step-by-step explanation:

make it (5)(4)/(14)(7)

20/98

divide it by the greatest common factor, 2

10/49

Subtract the linear expressions. (−2.6x+4.2)−(3.9x+2.5) What is the difference? Enter your answer in the box.

Answers

Answer:

-13x/2+1.7

Step-by-step explanation:

The difference of the given expression is - 6.5 x + 1.7.

Given that, (−2.6x+4.2)−(3.9x+2.5).

What is the subtraction of expressions?

To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Now, (−2.6x+4.2)−(3.9x+2.5)

= (-2.6x-3.9x)+4.2-2.5

= - 6.5 x + 1.7

Therefore, the difference of the given expression is - 6.5 x + 1.7.

To learn more about the subtraction of expression visit:

brainly.com/question/12959016.

#SPJ2

I need some help with this plz

Answers

Answer: acute angle

Step-by-step explanation:

HELP WILL GIVE BRAINLIEST ASAP

Answers

Answer:

I believe it's also 74°

Step-by-step explanation:

Because AGF and CGE are congruent,so the angle measurement should stay the same

Answer:

CGE is 74°

Step-by-step explanation:

AGF = FGD

FGD = CGE

AGF = EGB

AGF = 74°

FGD = 74°

CGE = 74°

EGB = 74°

360° is a circle and CGA = BGD

74 + 74 + 74 + 74 + x + x = 360

296 + 2x = 360

2x = 360 - 296

2x = 64

2x/2 = 64/2

x = 32

CGA and BGD are 32

CGE is 74°

Hope This Helps! •v•

49000000 -8373448588766

Answers

answer:

-8.3733995^12

this is algebra 1 id appreciate it if you could help me thx!

Answers

Answer:

Option 4)  y - 1 = -2(x - 0)

Step-by-step explanation:

Given the slope, m = -2, and the y-intercept, (0, 1):

Substitute these values into the following point-slope form:

y - y1 = m(x - x1)

y - 1 = -2(x - 0)  ← This is the point-slope form given the slope, m = -2, and the y-intercept, (0, 1).

Therefore, the correct answer is Option 4: y - 1 = -2(x - 0)

total cents is $4. there are 20 more nickels than quarters. how many nickels and how many quarters.​

Answers

Answer:

Step-by-step explanation:

Eight people are competing in an art contest for 1st, 2nd, and 3rd place awards. How many
different combinations of awards are there?

Answers

Answer:

24 Combinations

Step-by-step explanation:

There are 8 people and there is a possibility that each can be either 1st, 2nd, 3rd. You would multiply 8 x 3 to get 24 or add 3 eight times

Juan cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?A. StartFraction 1 Over 60 EndFraction of a yardB. StartFraction 1 Over 25 EndFraction of a yardC. StartFraction 1 Over 12 EndFraction of a yardD. One-fifth of a yard

Answers

Answer:

It is c

Step-by-step explanation:

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x -1

Answers

Answer:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-interceptParallel lines always have the same slope (m)

Determine the slope (m):

[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]

The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

Determine the y-intercept (b):

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

To find the y-intercept, plug in the given point (6,14) and solve for b:

[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]

Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

I hope this helps!

What is
5
90
in decimal form?

Answers

Answer:

590 decimal form is 5.9

Step-by-step explanation:

Answer:

0.05555555555

Step-by-step explanation:

it is only a division

5/90 =

5 : 90 =

0.05555555555

Which model represents the product 4×13?

Answers

Answer:

Your answer is the one in the bottom left corner.

Step-by-step explanation:

Hope this helps!

Answer: C

Step-by-step explanation:

A television that costs $500 is marked up by 250%. What is the new price of the television?

Answers

answer:
625$

explanation: first you need to find what 250% of 500$ is. which to find that out , you take 500 times 0.250 which gives you 125. then you just add 125+500 and get 625$

hope this helps:)

Answer:

Its $1,750

Explanation: I got it right

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