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 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone.

Let y represent the distance (in meters) from the safe zone after x seconds.

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

Answer 1

Answer:

The required equation is $y=160-25x$.

Step-by-step explanation:

Consider the provided information.

She drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone.

The distance from the safe zone = 160 meters,

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

Distance cover in 3 seconds = 160 - 85 = 75 meters,

As we know: $Speed=\frac{Distance}{Time}$

$Speed=\frac{75}{3}=25$

Hence, her speed is 25 meter per second.

Let y represent the distance (in meters) from the safe zone after x seconds.

$y=160-25x$

Hence, the required equation is $y=160-25x$.