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?

Respuesta :

There are 12 months in a year and so we have

[tex]m=12t[/tex][tex]\therefore t=\frac{m}{12}[/tex][tex]V(m)=1300(0.61)^{\frac{m}{12}}[/tex]

which can be written as

[tex]V(m)=1300((0.61)^{\frac{1}{12}})^m[/tex][tex]V(m)=1300(0.9596)^m[/tex]

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