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fredd [130]
3 years ago
14

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
Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

Answer:

D(t)=-24t+166

Step-by-step explanation:

Let

D(t) = the distance to the safe zone (measured in meters)

t = time (measured in seconds)

<u>Given:</u>

Rachel's rate = 24 meters per second

At t_1=4 seconds D(t_1)=70 meters

<u>Find:</u> D(t)

Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.

Hence, the function expression is

D(t)=-24t+b

To find b, substitute t_1=4 and  D(t_1)=70:

70=-24\cdot 4+b\\ \\70=-96+b\\ \\b=70+96\\ \\b=166

So,

D(t)=-24t+166

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