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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% 15 \% of its initial purchase value each year. If the initial purchase value of Gary's car is m m dollars, which of the following functions best describes the value of his car one year after purchase?\newlineChoose 11 answer:\newline(A) f(m)=0.15m f(m)=0.15 m \newline(B) f(m)=0.85m f(m)=0.85 m \newline(c) f(m)=10.15m f(m)=1-0.15 m \newline(D) f(m)=10.85m f(m)=1-0.85 m

Full solution

Q. Gary learned that the value of his car depreciates by 15% 15 \% of its initial purchase value each year. If the initial purchase value of Gary's car is m m dollars, which of the following functions best describes the value of his car one year after purchase?\newlineChoose 11 answer:\newline(A) f(m)=0.15m f(m)=0.15 m \newline(B) f(m)=0.85m f(m)=0.85 m \newline(c) f(m)=10.15m f(m)=1-0.15 m \newline(D) f(m)=10.85m f(m)=1-0.85 m
  1. Understand the depreciation rate: Understand the depreciation rate.\newlineGary's car loses 15%15\% of its value each year. This means it retains 85%85\% of its value each year.
  2. Express retained value function: Express the retained value as a function of the initial value.\newlineIf the initial value is mm dollars, after one year, the car's value is 85%85\% of mm, which is 0.85m0.85m.
  3. Match function with options: Match the function with the given options.\newlineThe function that matches 0.85m0.85m from the options is:\newline(B) f(m)=0.85mf(m)=0.85 m

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