Question

the value of a new car is $80,000. in 5 years time the car will be worth $20,000. assume that the value of the car decreases at a constant rate of $m per year, and the value of the car is $y after X years. find the value of m.

Answer 1

Hi!

If the initial price is $80,000 and the final price is $20,000. The difference can be found by working out the total difference:

80,000 - 20,000 = 60,000.

If it decreases at a contant rate over the space of 5 years, the amount per year can be worked out by dividing the difference between the two prices and the length:

60,000 ÷ 5 = 12,000.

This means that every year the car decreases in price by $12,000.

This means that
`m = 12,000`!

Hope this helps!