Question

Kaitlyn is walking on a treadmill at a constant pace for 36 minutes. She has programmed

the treadmill for a 2-mile walk. The display counts backward to show the distance
remaining.
Enter and graph the equation that gives the distance f(x) left in miles as a function of the
number x of minutes she has been walking. Then, find and compete the interpretation of
the x- and y-intercepts.
The equation is f(x) =

Answer 1

x int = (36,0)

y int = (0,2)

Explanation:

Speed = distance / time

speed = 2/36 = 0.05555 Or 1/18 (as a fraction)

equation = f(x) = 2 - x/18

graph

Answer 2

The equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking is
`f(x) = -(x)/(18) + 2`

The x-intercept of the graph is at (0, 2) which shows that the distance traveled at the beginning is 2 miles

The y-intercept of the graph is at (36, 0) which shows that no distance was covered when at when the time is 36 minutes

The general equation that represents the graph is expressed as:

`f(x) = 2 - sx`

s is the speed of Kaitlyn

The formula for calculating the speed is expressed as;

`speed = (distance)/(time)`

The function required will become;

`f(x) = 2 - (d)/(t)x\\`

Given the following parameters

distance "d" = 2 miles

Time "t" = 36 minutes

Substitute the given parameters into the function as shown:

`f(x) = 2 - (2)/(36)x\\f(x) = 2 - (1)/(18)x\\f(x) = -(x)/(18) + 2`

Hence the equation that gives the distance f(x) left in miles as a function of the number x of minutes she has been walking is
`f(x) = -(x)/(18) + 2`

Get the y-intercept of the function:

If x = 0

`f(x) = -(0)/(18) + 2\\f(x) = 2`

The y-intercept of the function is (0, 2)

Get the x-intercept of the function

`0 = -(x)/(18) + 2\\-2 = -(x)/(18) \\x = 36`

Hence the x-intercept of the graph is expressed as (36, 0)

Learn more here; brainly.com/question/19859423