The value of Sara's new car decreases at a rate of 8% each year

1. write an exponential function to model the decrease in the car's value each month.

2. write an exponential function to model the decrease in the car's value each week.

3. write an exponential function to model the decrease in the car's value each day.

4. what relationship is there between the amount of decrease and the time interval measured

Question

Karson Delgado

Mathematics

3 September, 22:26

The value of Sara's new car decreases at a rate of 8% each year

1. write an exponential function to model the decrease in the car's value each month.

2. write an exponential function to model the decrease in the car's value each week.

3. write an exponential function to model the decrease in the car's value each day.

4. what relationship is there between the amount of decrease and the time interval measured

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Answers (1)

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Myles · Answer 1

Let y be the price of the car and x be the number of years. The yearly price decrease:

y = 0.08ˣ

1) y = 0.08^ (x/12)

2) y = 0.08^ (x/52)

3) y = 0.08^ (x/365)

4) The smaller the smaller the time interval measured, the less the amount decreases.