Question

Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160160160 meters away. After 333 seconds of driving, she was 858585 meters away from the safe zone.

Complete the equation for the relationship between the distance and number of seconds.

Answer 1

The required function formula is,

D(t) = 160 - 25 t

Given,

The total distance of her from the safe zone = 160 meters,

And, after 3 seconds she is 85 meters far away from the safe zone,

Thus, the total distance she covered in 3 seconds = 160 - 85 = 75 meters, Since, she drove at a constant speed,

Also,

Thus, the distance she will cover in t seconds = 25 t

( Because, Distance = Speed × Time )

Hence, the total distance of her from the safe zone after t seconds, D(t) = 160 - 25t

Which is the required function formula.

Explanation: