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)=0.15m(B) f(m)=0.85m(C) f(m)=1−0.15m(D) f(m)=1−0.85m
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?Choose 1 answer:(A) f(m)=0.15m(B) f(m)=0.85m(C) f(m)=1−0.15m(D) f(m)=1−0.85m
Problem Understanding: Understand the problem.Gary's car depreciates by 15% each year. This means that each year, the car's value is 15% less than the value of the previous year.
Depreciation Factor: Determine the depreciation factor.To find the depreciation factor, we subtract the percentage of depreciation from 1 (100%).Depreciation factor = 1−0.15=0.85
Applying Depreciation Factor: Apply the depreciation factor to the initial value.To find the value of the car after one year, we multiply the initial value by the depreciation factor.Value after one year = initial value ∗ depreciation factorValue after one year =m×0.85
Matching with Options: Match the result with the given options.The function that matches the calculation is f(m)=0.85m, which is option (B).
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