Question

Kaitlyn is walking on a treadmill at a constant pace for 28 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.

Answer 1

Step-by-step explanation:

Kaitlyn walked at a constant pace for 28 minutes and finished a 2-mile walk. She has programmed the treadmill for a 2-mile walk.

Let the distance left in miles as function f(x) and x as the number of minutes she has been walking.

At x=0, the y-intercept, f(x) is 2 miles as it is at the very beginning of walk.

At y=0, the x-intercept, x is 28 minutes as it is at the very end of walk.

Her pace is constant at 14 minutes per mile.

Using the above info, f(x) can be set up as a linear x-y function of:

y = -x/14 + 2

Answer 2

Step-by-step explanation:

slope is constant at 2/28 = -1/14; negative cuz' its counting down

x-intercept is at x=28 when walk ends

y-intercept is at y=2 when walk starts

so f(x) is y=2-x/14

see graph attached