kayden is a stunt driver. one time, during a gig where she escaped from a building about to explode, she…

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:

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

Explanation:

Step1: Find the initial value

When (x = 0) (before driving), (y=160) (since the safe - zone is 160 meters away initially).

Step2: Analyze the slope

The driver is moving towards the safe - zone (so (y) is decreasing as (x) increases). The distance covered in 3 seconds is (160 - 85=75) meters. The speed (v=\frac{75}{3} = 25) m/s. The equation of the line is (y=160-25x). This is a linear function with a negative slope ((m=-25)) and (y) - intercept (b = 160).

Answer:

C.