Question

Each day, Yumiko does sit-ups for a few minutes before running.Distance (mi) 2, 2.5, 3, 3.5, 4Time (min) 23, 28, 34, 34, 40Which could be an equation of the trend line shown in the graph? A. average time spent doing sit-upsB. average time spent running C. total time spent running D. average distance runWhat does the y-intercept of the line represent?

Answer 1

In this problem we have that

x ------> represent distance in miles

y -----> represent time in minutes

so

Find the equation of the line of the graph

take the points

(2.5,28) and (4,40)

Find the slope

m=(40-28)/(4-2.5)

m=12/1.5

m=8

Find the equation in slope intercept form

y=mx+b

we have

m=8

point (4,40)

substitute

40=8(4)+b

solve for b

40=32+b

b=8

therefore

the equation is

y=8x+8

answer is option D

Part 2

What does the y-intercept of the line represent?

the y intercept is the value of y when the value of x is equal to zero

in this problem

the y-intercept is the time in minutes when the distance in miles is equal to zero

so

the answer is option

A. average time spent doing sit-ups