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

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2