rachel is a stunt driver. one time, during a gig where she escaped from a building about to explode(!), she…

rachel is a stunt driver. one time, during a gig where she escaped from a building about to explode(!), she drove to get to the safe zone at 24 meters per second. after 4 seconds of driving, she was 70 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. y =

rachel is a stunt driver. one time, during a gig where she escaped from a building about to explode(!), she drove to get to the safe zone at 24 meters per second. after 4 seconds of driving, she was 70 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. y =

Answer

Explanation:

Step1: Find the initial distance

The speed is 24 meters per second. After 4 seconds, she has driven a distance of $24\times4 = 96$ meters. And she was 70 meters away from the safe - zone after 4 seconds. So the initial distance from the safe - zone is $96 + 70=166$ meters.

Step2: Determine the equation

The distance $y$ from the safe - zone decreases as time $x$ increases at a rate of 24 meters per second. The equation of a line in slope - intercept form is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. Here, the slope $m=-24$ (negative because the distance is decreasing) and the y - intercept $b = 166$. So the equation is $y=-24x + 166$.

Answer:

$y=-24x + 166$