Question

You bought a new car for $19000 in 2012, and the value of the car depreciates by $600 each year.a) Find a formula for V, the value of the car, in terms of t, the number of years since 2012.V(t) =b) Find the value of the car in 2018.V(6) =

Answer 1

a)

The initial value of the car is $19,000, and after each year after 2012, the value decreases by $600.

So, the value V after t years will be 19000 minus t times 600, therefore the corresponding equation is:

`V(t)=19000-600t`

b)

In 2018, we have 6 years after 2012, so t = 6.

Calculating the value of V for t = 6, we have:

`\begin{gathered} V(6)=19000-600\cdot6 \\ V(6)=19000-3600 \\ V(6)=15400 \end{gathered}`

Therefore the value of the car in 2018 is $15,400.