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Gary learned that the value of his car depreciates by
15% of its initial purchase value each year. If the initial purchase value of Gary's car is
m dollars, which of the following functions best describes the value of his car one year after purchase?
Choose 1 answer:
(A)
f(m)=0.15 m
(B)
f(m)=0.85 m
(c)
f(m)=1-0.15 m
(D)
f(m)=1-0.85 m

Gary learned that the value of his car depreciates by $15 \%$ of its initial purchase value each year. If the initial purchase value of Gary's car is $m$ dollars, which of the following functions best describes the value of his car one year after purchase? $\newline$ Choose $1$ answer: $\newline$ (A) $f(m)=0.15 m$ $\newline$ (B) $f(m)=0.85 m$ $\newline$ (c) $f(m)=1-0.15 m$ $\newline$ (D) $f(m)=1-0.85 m$

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Interpret measures of center and variability

Full solution

Q. Gary learned that the value of his car depreciates by

15 \%

of its initial purchase value each year. If the initial purchase value of Gary's car is

m

dollars, which of the following functions best describes the value of his car one year after purchase?

\newline

Choose

1

answer:

\newline

(A)

f(m)=0.15 m

\newline

(B)

f(m)=0.85 m

\newline

(c)

f(m)=1-0.15 m

\newline

(D)

f(m)=1-0.85 m

Understand the depreciation rate: Understand the depreciation rate. $\newline$ Gary's car loses $15\%$ of its value each year. This means it retains $85\%$ of its value each year.
Express retained value function: Express the retained value as a function of the initial value. $\newline$ If the initial value is $m$ dollars, after one year, the car's value is $85\%$ of $m$ , which is $0.85m$ .
Match function with options: Match the function with the given options. $\newline$ The function that matches $0.85m$ from the options is: $\newline$ (B) $f(m)=0.85 m$

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