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28 August, 14:14

The present cost of a car is $9,000. the cost of the car depreciates at the rate of $1000 per year. part

a. write a function to show the cost of the car f (t) after t years. part

b. what is the total cost of the car after 3 years? part

c. if the cost of the car was $500 less than the present cost, what would be the cost of the car after 5 years?

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  1. 28 August, 15:17
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    A. f (t) = 9000-1000t; Since 9000 is the number we start on, that is written as the constant. And since the value decreases by $1000 each year, we can put the $9000 it costs currently and will decrease by $1000 per year (t), this can be written as the function f (t) = 9000-1000t

    B. $6000; Just plug 3 into the equation to find the answer.

    f (t) = 9000-1000 (3)

    f (t) = 9000-3000

    f (t) = 6000

    It costs $6000 after three years

    C. $3500; To solve this just subtract 500 from 9000 to get 8500, and plug this in as the constant in our function.

    f (t) = 8500-1000 (5)

    f (t) = 8500-5000

    f (t) = 3500

    The answer is $3500
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