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=(m)/(12)`
`V(m)=1300(0.61)^{(m)/(12)}`

which can be written as

`V(m)=1300((0.61)^{(1)/(12)})^m`
`V(m)=1300(0.9596)^m`

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