Question

The value, vt), of a car depreciates according to the function vér) - P4.85). where P is the purchase price of the car and 1 is the time, in years, since the car was purchased. State the percent that the value of the car decreases by each year. Justify your answer.

Answer 1

To find the percent decrease each year, subtract the value of the car at a later time from the value at an earlier time, divide by the earlier value, and multiply by 100.

Step-by-step explanation:

The percent that the value of the car decreases by each year can be found by dividing the change in value by the original value and then multiplying by 100. In this case, the function v(t) represents the value of the car at time t, and P represents the purchase price of the car. To find the percent decrease each year, we can subtract v(t+1) from v(t), divide by v(t), and multiply by 100.

For example, if the value of the car after 1 year is $10,000 and the value after 2 years is $8,000, the percent decrease would be:
((10,000 - 8,000) / 10,000) * 100 = 20%

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