Question

The value, V, of a computer can be modeled by the function V(t) = 1300(0.61), where t is the number of years since the computer waspurchased. Which function best represents the value of the computer in months?

Answer 1

There are 12 months in a year and so we have

$m=12t$$\therefore t=\frac{m}{12}$$V(m)=1300(0.61)^{\frac{m}{12}}$

which can be written as

$V(m)=1300((0.61)^{\frac{1}{12}})^m$$V(m)=1300(0.9596)^m$

which is our answer and it is the third choice in the column.