A car moving at a constant speed passed a timing device at t=0. After 7 ​seconds, the car has traveled 567 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.

Answers

Answer 1

Answer:

The required equation is:

d = 81tf(t) = 81t

Step-by-step explanation:

We know that

distance = rate × t

Given that a car moving at a constant speed passed a timing device at t=0.

In other words, at t = 0 second, d = 0 ft.

After 7 ​seconds, the car has traveled 567 ft.

In other words, at t = 7 seconds, d = 567 ft

Thus, there are two points

(0, 0)

(7, 567)

Finding the slope between (0, 0) and (7, 567)

Using the formula

Slope = Rate of change = [y₂-y₁] / [x₂-x₁]

                                        = [567 - 0] / [7-0]

                                        = 567 / 7

                                        = 81 ft/second

Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider

Thus, the required equation is:

distance = rate × t

d = 81 × t

d = 81t

or

f(t) = 81t

VERIFICATION

Given the equation

d = 81 × t

Put t = 0 to find the disatance in 1 sec

d = 81 × (0) = 0 ft

Put t = 7 to find the distance in 7 seconds

d = 81 × (7) = 567 ft


Related Questions

Plz help I am desperate lol

Answers

Question # 7

Given two points

(0, 0)(3, 3)

Determining the slope of the line passing through the points (0, 0) and (3, 3)

(x₁, y₁) = (0, 0)

(x₂, y₂) = (3, 3)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [3 - 0] / [3 - 0]

                = 3 / 3  

                = 1

Thus, the slope of the line = m = 1

Question # 8

Given two points

(1, 3)(5, 5)

Determining the slope of the line passing through the points (1, 3) and (5, 5)

(x₁, y₁) = (1, 3)

(x₂, y₂) = (5, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [5 - 3] / [5 - 1]

                = 2/4  

                = 1/2

Thus, the slope of the line = m = 1/2

Question # 9

Given two points

(4, 4)(5, 3)

Determining the slope of the line passing through the points (4, 4) and (5, 3)

(x₁, y₁) = (4, 4)

(x₂, y₂) = (5, 3)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [3 - 4] / [5 - 4]

                = -1 / 1  

                = -1

Thus, the slope of the line = m = -1

How many rectangles do you get if you fold a paper 3 times.

Answers

You can fold your paper on one, two, or more folds, but only on the folds we've already made. You can't make any new folds.

25/4=25/2a =2b=c. A=. B=. C=. answer is 2,3,8

Answers

Answer:

Ohhh fancy Smart im not that smart LOL

Step-by-step explanation:

Have A Wonderful Day !!

You must determine the volume of air flowing through a duct. Begin by determining the area of the duct. (In a later step, you would multiply that value by the speed of
the air flowing through the duct to determine air volume.) The diameter of the round air duct is 16 inches. What is the area of its circular opening to the nearest whole
number?
The area of the circular opening is 16 square inches.

Answers

Answer:

4 i think

Step-by-step explanation:

The area of the circular opening is  201.14 sq.inches.

What is Area ?

Area is the space occupied by any given surface in a two dimensional plane.

A circular duct has a diameter of 16 inches

Area of the circular opening is given by

πd²/4

d is the diameter of the circle

= (22/7) * (16)²/4

= 201.14 sq.inches

Therefore the area of the circular opening is  201.14 sq.inches.

To know more about Area

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what 1x0 -p1s yyyyrr

Answers

0.

anything multiplied by 0 = 0.

Answer:

87

Step-by-step explanation:

1x0=97x1x0xratio=87

Find the equation of the line which passes through (2,4) with a slope of 1/2​

Answers

Answer: the answer is y=1/2x+3

Step-by-step explanation:

Hopes this helps !! Message me if explanation is needed !!!

The equation of the line which passes through (2,4) with a slope of 1/2​ is  [tex]y = \frac{x}{2} +3[/tex].

What is a slope-intercept form?

Y = mx + b is the slope-intercept form of the equation of a straight line. In the equation y = mx + b, m is the slope of the line and b is the intercept. X and y represent the distance of the line from x-axis and y-axis, respectively. The value of b is equal to y when x = 0, and m shows how steep the line is.

Given

Slope m = 1/2

Point (x, y) = (2, 4)

Equation of line which passes through a point (x, y) with a slope of m is

y = mx + b

Substitute the values

⇒ [tex]4=\frac{1}{2}(2)+b[/tex]

⇒ 4 = 1 + b

⇒ b = 4 - 1

⇒ b = 3

Substitute m = 1/2 and b = 3 in equation (1)

[tex]y = \frac{1}{2}(x) +3[/tex]

⇒ [tex]y = \frac{x}{2} +3[/tex]

Hence, the equation of the line which passes through (2,4) with a slope of 1/2​ is  [tex]y = \frac{x}{2} +3[/tex].

Find more information about slope-intercept form here

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Anyone know the answer?!

Answers

Answer:

A.

Step-by-step explanation:

4x-(-5x)=9x

-6y-2y=-8y

13-5=8

So, the answer is 9x+8y=8

(hope this helps!)

What is the domain of this relation?

Answers

Answer:

{-3, 3, 5, 9}

Step-by-step explanation:

The domain is simply the inputs (x) used in the function.

Answer:

{-3,3,5,9} this is answer

1 cubic meter =___ million cubic cm

Answers

I believe it’s 1,000,000 I think I don’t really know I’m sorry

S = 6t² + 3t + 7, 0 ≤ t ≤ 2 Find the body's displacement and average velocity for the given time interval. A) 30 m, 30 m/sec B) 44 m, 22 m/s C) 18 m / sec , 27 m /sec D) 30 m / sec , 15 m /sec

Answers

Answer:

30m, 24m/s

Step-by-step explanation:

Given the expression for the position of the object expressed as:

S = 6t² + 3t + 7,

At t = 0

S0 = 6(0)²+3(0)+7

S0 = 0+0+7

S(0) = 7m

At t = 2

S2 = 6(2)² + 3(2)+ 7

S2 = 6(4)+6+7

S2 = 24+13

S2 = 37

The displacement = S2-S0 = 37-7= 30m

For the velocity

V = dS/dt = 12t+3

At t = 0

V0 = 12(0)+3

V0 = 3

At t= 2

V2 = 12(2)+3

V2 = 24+3

V2 =27

The velocity will be V2-V0 = 27-3 = 24m/s

Simplify the expression:
9k+3k+8k

Answers

Answer:

20k

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

9k + 3k + 8k

Step 2: Simplify

Combine like terms (Add k):           12k + 8kCombine like terms (Add k):           20k

Final Answer: [tex]20k[/tex]

Steps/Reasons/Explanation:

Because they are all one variable, you can just add them up.

Question: Simplify the expression: [tex]9k+3k+8k[/tex].

Step 1: Addition.

[tex]20k[/tex]

~I hope I helped you :)~

Please ✨help✨ I need this as soon as possible

Answers

Answer:

Its false babe

Answer:

The ratios does not for a proportion.

Step-by-step explanation:

☆When

[tex] \frac{18}{54} [/tex]

is simplified, it simplifies to:

[tex] \frac{14}{9} \: not \: \frac{16}{9} [/tex]

☆And you could also figure it out doing proportion.

[tex] \frac{18}{54} ≠ \frac{16}{6} \\ \\ 864≠756[/tex]

A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue of $561. Right-handed gloves cost $45 and left-handed gloves cost $52. How much of each type of gloves did they sell

Answers

Answer:

[tex]9[/tex] right-handed gloves and [tex]3[/tex] left-handed gloves were sold.

Step-by-step explanation:

Given:  In one month, [tex]12[/tex] gloves were sold for a total revenue of [tex]\$561[/tex].

            right-handed gloves cost [tex]\$45[/tex] and left-handed gloves cost [tex]\$52[/tex].

To find: How much of each type of gloves did they sell?

Solution: Let they sell [tex]x[/tex]  right-handed gloves, and [tex]y[/tex] left-handed gloves.

Now, cost of each right-handed gloves [tex]=\$45[/tex]

cost of each left-handed gloves [tex]=\$52[/tex]

Total revenue [tex]=\$561[/tex]

So, we get

[tex]45x+52y=561\:\:\:...(i)[/tex]

Also,  in a month [tex]12[/tex] gloves were sold.

So, we get

[tex]x+y=12\:\:\:...(ii)[/tex]

Now, from [tex](ii)[/tex] we get, [tex]x=12-y[/tex].

Putting [tex]x=12-y[/tex] in equation [tex](i)[/tex], we get

[tex]45(12-y)+52y=561[/tex]

[tex]\implies 540-45y+52y=561[/tex]

[tex]\implies7y=561-540[/tex]

[tex]\implies7y=21[/tex]

[tex]\implies y=\frac{21}{7}[/tex]

[tex]\implies y=3[/tex]

Now, putting [tex]y=3[/tex] in equation [tex](ii)[/tex], we get

[tex]x+3=12[/tex]

[tex]\implies x=12-3[/tex]

[tex]\implies x=9[/tex]

Hence, [tex]9[/tex] right-handed gloves and [tex]3[/tex] left-handed gloves were sold.

I am timed here! Please help! Answer only if you know the question. Else please don't.

What is the value of [3.6]

A: 3

B: 3.5

C: 3.6

D: 4

Answers

Answer: 3

Step-by-step explanation: [ 3.6 ] represents the greatest integer function [ x ]

If x is an integer use that integer

If x is not an integer use the next smaller integer

[ 3.6 ] is not an integer, hence

[ 3.6 ] = 3

What is the slope intercept in equation y = x-4

Answers

Answer:

Y = x - 4

Step-by-step explanation:

it’s already in y = Mx + b form

brianna bought a computer game for $36 with a coupon for %25 off, How much would it cost without the coupon

Answers

the game would cost $45

Please help.. :(

This is confusing

Answers

Answer:

x² + 4x + 9

Step-by-step explanation:

This is just adding like terms (Adding x²'s to each other, adding x's to each other, etc.)

3x² - 2x² = x²

-x + 5x = 4x

7 + 2 = 9

So all together its x² + 4x + 9.

Need help please look

Answers

Answer:

The area is 285.1 mi^2

Step-by-step explanation:

Here, we want to find the area of the larger sector

Mathematically, that would be;

theta/360 * pi * r^2

= 270/360 * 3.142 * 11^2

= 285.1 mi^2

bob is twice as old as ralph. three years ago the sum of their ages was 45. what are their ages now?

answer using a let statement

Answers

Answer:

Were they both 45? I'm kinda confused on that part, but I think Ralph would be 48 and Bob would be 50

Step-by-step explanation:

Answer:

34 and 17

Step-by-step explanation:

Bob = B

Ralph = R

B=2R

B-3+R-3=45

B+R-6=45

+6         +6

B+R=51

Substitute B for 2R

2R+R=51

3R=51

R=17

2(17)=34

so B is 34 and R is 17


What is the scale factor of 8 and 13 ?

Answers

Answer: The answer will most likely be 1

In which quadrant does the point (10 , 25) lie?

Answers

Answer:

In quadrant 1

Step-by-step explanation:

Quadrant 1 is (positive, positive) which falls in the category (10,25)

Answer:

quadrant 1

Step-by-step explanation:

2 positives lie in quadrant 1, 2 negatives lie in quadrant 3, positive x and negative y lie in quadrant 4, and negative x and positive y lie in quadrant 2.

Hope this helps :D

A helicopter is 105 ft. above sea level, while a submarine is directly underneath the helicopter and has a position of 62 ft. below sea level. Which expression will correctly calculate the distance between the helicopter and the submarine?

Answers

167 feet is the difference between positions

I think of a number. I subtract 4,then divide by 5. The result equals 15.
a) Write this information in the form of an equation.
b) Solve the equation to find the number I was thinking of.

Answers

Answer:

a) (X - 4)x 5 = 15

b) the answer is 7

Step-by-step explanation:

divide 15 by 5 and then add 4, do the equasion backwards :)

The solution of the given equation (X - 4)x 5 = 15 would be equal to 7.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Now we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.

We are given that a number subtract 4, then divide by 5. The result equals 15.

a) The equation form as

(X - 4)x 5 = 15

b) Now solving the equation as;

(X - 4)x 5 = 15

5x - 20 = 15

x = 35/7

x = 7

Hence, the answer is 7

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Look at the triangle ABC.


Please help!

Answers

Answer:

√13

Step-by-step explanation:

Find the length AC and BC

AC=5-2

=3 (AC found in the y-axis so we substract the y values)

BC=4-2

=2 (BC found in the x-axis so we substract the x values)

then by using pythagoras we can find AB

AB^2=BC^2+AC^2

A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?​

Answers

Answer:

Acute triangle.

Step-by-step explanation:

Since all angles in the triangle is less than 90°, it is an acute triangle.

Is 30 a reasonable estimate of a quotient for 91,766 ÷ 288?
answer if you know please

Answers

Answer:

300 would be

Step-by-step explanation:

Answer:

No, around 300 would be reasonable.

Step-by-step explanation:

is 0.53 greater than 0.35

Answers

Yesssss lolllllllll......

Answer:

Yes.

Pls mark brainliest. Thanks.

4.4/x = 14.3/(1/3)
every / is a fraction...
so its 4.4 over x, and 14.3 over 1/3. what is the value of x

Answers

Answer:

.103

Step-by-step explanation:

14.3 ÷ 1/3  =  14.3 x 3  =   42.9

[tex]\frac{4.4}{x}[/tex] = 42.9

42.9x = 4.4

x = 4.4 ÷ 42.9

Solve for x : 8x = 96

Answers

Answer:

x=12

Step-by-step explanation:

8x=96

8x/8=96/8

x=12

Hope this helps!

Solve for d.
2 = 2(d - 7)

Answers

Answer:

should be 6to make is one so you can multiply it by 1 to get the same number

Step-by-step explanation:

Answer:

D = 8

Step-by-step explanation:

distribute

2 = 2d - 14

add 14 to both side

16 = 2d

divide both sides by 2

8 = d

d = 8

can I get brainliest ?

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