3. A vehicle depreciates by 25% each year. Its value, VVV, in dollars, as a function of time, t, in years, can be modeled by the function V(t) = 28000(0.75'). a. What was the initial value of the vehicle? Explain your reasoning. b. How long will it take for the vehicle to depreciate to half its initial value, rounded to the nearest tenth of a year? c. After how many years will the vehicle's value be reduced to $5,000? Provide your answer to the nearest tenth of a year.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 17PFA
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3. A vehicle depreciates by 25% each year. Its value, VVV, in dollars, as a function of time, t, in
years, can be modeled by the function V(t) = 28000(0.75').
a. What was the initial value of the vehicle? Explain your reasoning.
b. How long will it take for the vehicle to depreciate to half its initial value, rounded to the
nearest tenth of a year?
c. After how many years will the vehicle's value be reduced to $5,000? Provide your
answer to the nearest tenth of a year.
Transcribed Image Text:3. A vehicle depreciates by 25% each year. Its value, VVV, in dollars, as a function of time, t, in years, can be modeled by the function V(t) = 28000(0.75'). a. What was the initial value of the vehicle? Explain your reasoning. b. How long will it take for the vehicle to depreciate to half its initial value, rounded to the nearest tenth of a year? c. After how many years will the vehicle's value be reduced to $5,000? Provide your answer to the nearest tenth of a year.
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