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QUESTION

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

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 form the previous year. Write an exponential function of the form y = Vobt, where V0 is the initial value and t 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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