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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. Problem Understanding: Understand the problem.\newlineGary's car depreciates by 15%15\% each year. This means that each year, the car's value is 15%15\% less than the value of the previous year.
  2. Depreciation Factor: Determine the depreciation factor.\newlineTo find the depreciation factor, we subtract the percentage of depreciation from 11 (100%100\%).\newlineDepreciation factor = 10.15=0.851 - 0.15 = 0.85
  3. Applying Depreciation Factor: Apply the depreciation factor to the initial value.\newlineTo find the value of the car after one year, we multiply the initial value by the depreciation factor.\newlineValue after one year == initial value * depreciation factor\newlineValue after one year =m×0.85= m \times 0.85
  4. Matching with Options: Match the result with the given options.\newlineThe function that matches the calculation is f(m)=0.85mf(m) = 0.85 m, which is option (B).

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