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: write a linear equation that relates to your speed?


B: How long will it take for you to catch your friend?

Answer 1

A. (76-38)/4-2=19 --> m=19

finding b:

y=19x+b

38=19(2)+b

38-38=0

b=0

Linear equation: y=19x

B.

Set the two equation equal to each:

19x=14x+50

5x=50

x=10

It would take you 10 seconds to catch up to your friend :)