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
[tex] 2900(1-0.12)^t [/tex]
The inequality representing its value less than $2,000 can be written as below
[tex] 2900(1-0.12)^t<2000 [/tex]
