Questions: While driving a car, you see a child suddenly crossing the street. Your brain registers the emergency and sends a signal to your foot to hit the brake. The car travels a reaction distance D, in feet, during the time it takes you to react, where D is a function of the car's speed r, in miles per hour. That reaction distance is a linear function given below. Complete parts (a) through (d). D(r) = (33r + 16) / 32 a) Find D(5), D(20), D(50), and D(65). D(5) = 5.7 D(20) = 21.1 D(50) = 52.1 D(65) = 67.5 (Round to the nearest tenth as needed.) b) Choose the correct graph of D(r). A. c. B. D. c) Interpret the meaning of the slope in the context of this problem. For every 1-mph increase in speed, the braking distance increases by .
Transcript text: While driving a car, you see a child suddenly crossing the street. Your brain registers the emergency and sends a signal to your foot to hit the brake. The car travels a reaction distance D, in feet, during the time it takes you to react, where $D$ is a function of the car's speed $r$, in miles per hour. That reaction distance is a linear function given below. Complete parts (a) through (d).
\[
D(r)=\frac{33 r+16}{32}
\]
a) Find $D(5), D(20), D(50)$, and $D(65)$.
\[
\begin{array}{l}
D(5)=5.7 \\
D(20)=21.1 \\
D(50)=52.1 \\
D(65)=67.5
\end{array}
\]
(Round to the nearest tenth as needed.)
b) Choose the correct graph of $\mathrm{D}(\mathrm{r})$.
A.
c.
B.
D.
c) Interpret the meaning of the slope in the context of this problem.
For every 1 -mph $\square$ in speed, the braking distance $\square$ by $\square$
Solution
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