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.

Which of the following could be the graph of the relationship?

Choose 1 answer:

Answer 1

Hope so that it was useful

Answer 2

Option-C is correct and the total distance of her from the safe zone to x seconds is y=160-25x

Given that,

Kayden drives for stunts. She once drove at a continuous speed to reach the safe zone, which was 160 meters away, during a performance in which she ran from a building that was about to explode(!). She drove for three seconds before reaching the safe zone, which was 85 meters distant.

We have to find the graph which is correct for the given relationship.

We know that,

She is 160 meters away from the safe zone overall.

And within three seconds, she had travelled 85 meters from the secure area.

So, the total distance she covered in 3 seconds = 160 - 85 = 75 meters,

Since, she drives in a constant speed,

Speed = Distance/time = 75/3 = 25km/h

The distance cover in x seconds is 25x

So,

y= 160-25x

If we substitute x =0,1,2,3,4,..... we get the y values in an decreasing order.

So, the graph will be decrease.

Therefore, Option-C is correct and the total distance of her from the safe zone to x seconds is y=160-25x

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