The number of caps a new online store sells increases by a factor of 4 each month. The function f(x)=4^x represents the number of caps sold in month x. When does the store sell 64 caps? A.month 3 B.month 4 C.month 2 D.month 16

Respuesta :

For this case we have the following variables:

x: number of months

f (x): number of caps sold

The function that models the problem is given by:

[tex] f (x) = 4 ^ x
[/tex]

By the time the store sells 64 caps we have:

[tex] 4 ^ x = 64
[/tex]

From here, we clear the number of months:

[tex] log4 (4 ^ x) = log4 (64)

x = log4 (64)

x = 3
[/tex]

Answer:

the store sells 64 caps in 3 monts

A. month 3