Question

A car moving at a constant speed passed a timing device at t=0. After 9 ​seconds, the car has traveled 837 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.

Answer 1

at t=0 the car has moved 0 feet, also you know it has a constant speed so you get the points:

P1:(0,0) therefore you know b, the y-intercept=0

P2:(8,840)

insert P2 into y=mx+b

840=8m+0

840/8=m

105=m

so the result is:

y=105x=105t=f(t)=d

Explanation: