A delivery truck is purchased new for $54,000. a. Write a linear function of the form y = mt + b to represent the value y of the vehicle t years after purchase. Assume that the vehicle is depreciated by $6750 per year. b. Suppose that the vehicle is depreciated so that it holds 70% of its value from the previous year. Write an exponential function of the form y = Vob', where Vo is the initial value and r is the number of years after purchase. c. To the nearest dollar, determine the value of the vehicle after 4 yr and after 8 yr using the linear model. d. To the nearest dollar, determine the value of the vehicle after 4 yr and after 8 yr using the exponential model.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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A delivery truck is purchased new for $54,000.
a. Write a linear function of the form y = mt + b to
represent the value y of the vehicle t years after
purchase. Assume that the vehicle is depreciated by
$6750 per year.
b. Suppose that the vehicle is depreciated so that it holds
70% of its value from the previous year. Write an
exponential function of the form y = Vob', where Vo is
the initial value and r is the number of years after
purchase.
c. To the nearest dollar, determine the value of the
vehicle after 4 yr and after 8 yr using the linear model.
d. To the nearest dollar, determine the value of the
vehicle after 4 yr and after 8 yr using the exponential
model.
Transcribed Image Text:A delivery truck is purchased new for $54,000. a. Write a linear function of the form y = mt + b to represent the value y of the vehicle t years after purchase. Assume that the vehicle is depreciated by $6750 per year. b. Suppose that the vehicle is depreciated so that it holds 70% of its value from the previous year. Write an exponential function of the form y = Vob', where Vo is the initial value and r is the number of years after purchase. c. To the nearest dollar, determine the value of the vehicle after 4 yr and after 8 yr using the linear model. d. To the nearest dollar, determine the value of the vehicle after 4 yr and after 8 yr using the exponential model.
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