Question

You and a friend race each other. You give your friend a 50-foot head start. The distance y (in feet) your friend runs after x seconds is represented by the linear function y=14x+50 . The table shows the distances you run.

Time (seconds) x : 2, 4, 6, 8

Distinct (feet) y : 38, 76, 114, 152


A. what is the rate per second.


B. Write a linear function that relates your distance to the number of seconds. In the same coordinate plane, graph the linear functions that represent the distances of you and your friend.

Answer 1

A) what is the rate per second

From the table Δy / Δx = 38/2 which is 19
The equation for me will thus be y=19x + 0
the equation for my friend is given as y = 14x + 50
The rate per second for me is 19 ft/sec and my friend's is 14 ft/sec.

B) the linear equations for this question are y = 19x for me and y= 14x + 50 for my friend.