A new car costs $28, 000 depreciates to 70 % of its value in 2 years. Round all answers to 2 decimal places, wherenecessary.a. Assume that the depreciation is linear. What is the linear function that models the value of this car t years afterpurchase?f(t) =Previewb. Assume that the value of the car is given by an exponential function Ae*", where A is the initial price of the car.Find the value of the constant k. Answer exactly.k =Previewc. For the linear model used in part (a), find the value of the car 6 years after the purchase, then do the same forthe exponential model used in part (b). Round your answer to 2 decimal places.Linear after 6 years: $Exponential after 6 years: $

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A new car costs $28, 000 depreciates to 70 % of its value in 2 years. Round all answers to 2 decimal places, where necessary. a. Assume that the depreciation is linear. What is the linear function that models the value of this car t years after purchase? f(t) = Preview b. Assume that the value of the car is given by an exponential function Aekt, where A is the initial price of the car. Find the value of the constant k. Answer exactly. k = Preview c. For the linear model used in part (a), find the value of the car 6 years after the purchase, then do the same for the exponential model used in part (b). Round your answer to 2 decimal places. Linear after 6 years: $ Exponential after 6 years: $

A new car costs $28, 000 depreciates to 70 % of its value in 2 years. Round all answers to 2 decimal places, where necessary. a. Assume that the depreciation is linear. What is the linear function that models the value of this car t years after purchase? f(t) = Preview b. Assume that the value of the car is given by an exponential function Aekt, where A is the initial price of the car. Find the value of the constant k. Answer exactly. k = Preview c. For the linear model used in part (a), find the value of the car 6 years after the purchase, then do the same for the exponential model used in part (b). Round your answer to 2 decimal places. Linear after 6 years: $ Exponential after 6 years: $

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

A new car costs $28, 000 depreciates to 70 % of its value in 2 years. Round all answers to 2 decimal places, where
necessary.
a. Assume that the depreciation is linear. What is the linear function that models the value of this car t years after
purchase?
f(t) =
Preview
b. Assume that the value of the car is given by an exponential function Ae*", where A is the initial price of the car.
Find the value of the constant k. Answer exactly.
k =
Preview
c. For the linear model used in part (a), find the value of the car 6 years after the purchase, then do the same for
the exponential model used in part (b). Round your answer to 2 decimal places.
Linear after 6 years: $
Exponential after 6 years: $

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