Question

Greg is driving a remote control car at a constant speed. He starts the timer when the cat is 5ft away after 2 seconds the car is 35ft away
Estimate the distance the car has traveled after 10 secs

Answer 1

Greg is driving a remote control car at a constant speed. He starts the timer when the car is 5ft away after 2 seconds the car is 35ft away

Let x be the seconds and y be the feet the car is away

In 0 seconds the car is 5ft away.  (0, 5)

In 2 second  the car is 35 ft away (2, 35)

Question says constant speed

so we find linear equation y=mx+b

use the points (0,5)  and (2,35)

slope $m = \frac{y_2-y_1}{x_2-x_1} = \frac{35-5}{2-0}= 15$

y intercept is 5

so equation becomes y = 15x + 5

to find the distance the car has traveled after 10 secs

We plug in 10 for x  and find out y

y = 15(10) + 5= 150+5= 155

the distance the car has traveled after 10 secs is 155 feet