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D=-38 t+220
Rachel is driving a race car at a constant speed on a closed course. The formula shown describes the remaining distance,
D, measured in meters, that Rachel has to travel after
t seconds. What is Rachel's speed in meters per second?

$D=-38 t+220$ $\newline$ Rachel is driving a race car at a constant speed on a closed course. The formula shown describes the remaining distance, $D$ , measured in meters, that Rachel has to travel after $t$ seconds. What is Rachel's speed in meters per second?

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Write exponential functions: word problems

Full solution

Q.

D=-38 t+220

\newline

Rachel is driving a race car at a constant speed on a closed course. The formula shown describes the remaining distance,

D

, measured in meters, that Rachel has to travel after

t

seconds. What is Rachel's speed in meters per second?

Identify Formula: Identify the formula that represents the remaining distance Rachel has to travel after $t$ seconds. $\newline$ The formula given is $D = -38t + 220$ , where $D$ is the remaining distance in meters and $t$ is the time in seconds.
Understand Coefficient Meaning: Understand the meaning of the coefficient of $t$ in the formula. $\newline$ In the formula $D = -38t + 220$ , the coefficient of $t$ ( $-38$ ) represents the rate of change of the remaining distance with respect to time, which is Rachel's speed in meters per second.
Determine Rachel's Speed: Determine Rachel's speed. $\newline$ Since the coefficient of $t$ is $-38$ , this means Rachel's speed is $38$ meters per second. The negative sign indicates that the distance is decreasing over time, which is expected as Rachel moves along the course.

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