Question

Taci's new car depreciates 10% each year.

1. Write an exponential function to model the depreciation each month.
2. Write an exponential function to model the depreciation each week.
3. Write an exponential function to model the depreciation each day.
4. What relationship is there between the amount of depreciation and the time interval measured?

Answer 1

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

y = 0.10ˣ

1) y = 0.10^(x/12)

2) y = 0.10^(x/52)

3) y = 0.10^(x/365)

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

Step-by-step explanation: