Question

Maggie is training for a bicycle trip across her home state. She recorded the approximate number of miles biked for ten days of training. The graph below shows the data that she recorded as a function of the distance biked over time. Maggie only wore her fitness tracker on two of the days that she trained. So, from her fitness tracker she verified that on the third day she biked 20 miles, and on the eighth day she biked 35 miles. Use these two data points to determine the equation of the line of best fit for Maggie's data. A. B. C. D.

Answer 1

let

A(3,20) B(8,35)

step 1

find the slope AB

m=(y2-y1)/(x2-x1)-------> m=(35-20)/(8-3)------> m=15/5-----> m=3

step 2

with m=3 and the point A(3,20) find the equation of the line

y-y1=m*(x-x1)------> y-20=3*(x-3)----> y=3x-9+20------> y=3x+11

therefore

the answer is

the equation of the line of best fit for Maggie's data is

y=3x+11