Question

A painting is purchased for $350. If the value of the painting doubles every 5 years, then its value is given by the function V(t) = 350 ⋅ 2t/5, where t is the number of years since it was purchased and V(t) is its value (in dollars) at that time. What is the value of the painting ten years after its purchase?

Answer 1

1400 it doubles every 5 years so in ten years it will double twice first to 700 then to 1400

Answer 2

Hello!

You put 10 in for t

V(10) = 350 * 2(10)/5

Combine like terms

V(10) = 350 * 20/5

V(10) = 350 * 4

V(10) = 1400

The answer is 1,400

Hope this helps!