Question

Liam buys a motorcycle for $2,900. Its value depreciates annually at a rate of 12%. At the end of t years, it has a value of less than $2,000. write a inequality

Answer 1

It is given in the problem that

Liam buys a motorcycle for $2,900

Its value depreciates annually at a rate of 12%=0.12

At the end of t years, it has a value of less than $2,000

The exponential equation modeling this situation can be written as below

$2900(1-0.12)^t$

The inequality representing its value less than $2,000 can be written as below

$2900(1-0.12)^t$