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Rachel is a stunt driver, and she's escaping from a building that is about to explode!

D represents Rachel's remaining distance (in meters) as a function of time
t (in seconds).

D=-38 t+220
What is Rachel's speed?
meters per second

Rachel is a stunt driver, and she's escaping from a building that is about to explode! $\newline$ $D$ represents Rachel's remaining distance (in meters) as a function of time $t$ (in seconds). $\newline$ $D=-38 t+220$ $\newline$ What is Rachel's speed? $\newline$ meters per second

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Write exponential functions: word problems

Full solution

Q. Rachel is a stunt driver, and she's escaping from a building that is about to explode!

\newline

D

represents Rachel's remaining distance (in meters) as a function of time

t

(in seconds).

\newline

D=-38 t+220

\newline

What is Rachel's speed?

\newline

meters per second

Identify Equation: Identify the equation that represents Rachel's remaining distance as a function of time. $\newline$ The equation given is $D = -38t + 220$ .
Speed Coefficient: Understand that the coefficient of $t$ in the distance equation represents Rachel's speed. $\newline$ In the equation $D = -38t + 220$ , the coefficient of $t$ is $-38$ . This means Rachel's speed is $38$ meters per second.
Movement Direction: Determine the direction of Rachel's movement. $\newline$ The negative sign in front of $38$ indicates that the distance is decreasing over time, which is consistent with Rachel moving away from the building. However, speed is a scalar quantity and does not have a direction, so we only consider the magnitude, which is $38$ .
Final Answer: State the final answer. $\newline$ Rachel's speed is $38$ meters per second.

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