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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 4
B. Month 3
C. Month 2
D. Month 16

Respuesta :

altavistard
Solve 64 = 4^x.  Take the log of both sides of this equation, obtaining:
                                              log 64
log 64 = x*log 4.  Then x = ------------ = 3                 (Month 3)
                                               log 4

The store sells 64 caps in the month 3.

What are functional equations ?

In mathematics, a functional equation is, in the broadest meaning, an equation in which one or several functions appear as unknowns. So, when a statement represent a definite function using one or more dependent parameter then it is an example of a functional equation.

How to find the given parameter from functional equation ?

Given that the number of caps a new online store sells increases by a factor of 4 each month.

Function is , f(x) = [tex]4^{x}[/tex]

We have to find the month where it sells 64 caps.

Therefore for finding the month number, we should satisfy the value of x with the given value of f(x).

∴  f(x) = 64

⇒ 64 = [tex]4^{x}[/tex]

∴  x = 3

Therefore we have the month number as 3.

Thus, the store sells 64 caps in the month 3.

To learn more about functional equation ,refer -

https://brainly.com/question/24255319

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