Q:

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 D represent the distance (in meters) from the safe zone after t seconds. Complete the equation for the relationship between the distance and number of seconds.

Accepted Solution

A:
Answer:The required equation is [tex]y=160-25x[/tex].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: [tex]Speed=\frac{Distance}{Time}[/tex][tex]Speed=\frac{75}{3}=25[/tex]Hence, her speed is 25 meter per second.Let y represent the distance (in meters) from the safe zone after x seconds.[tex]y=160-25x[/tex]Hence, the required equation is [tex]y=160-25x[/tex].