Felix joins a local recreation center to play basketball. the recreation center charges a $20 annual fee, plus an additional $15 per month for usage of the basketball courts. felix prepay by writing a check for $185. for how many months did felix prepay

Felix paid for 11 months

Solution:

Given that Felix joins a local recreation center to play basketball

Annual fee = $ 20

additional fee per month = $ 15

Felix pays writing a check for $ 185

To find: Number of months for which Felix prepaid

From the given information, we can frame a equation as:

amount paid = annual fee + additional fee (number of months )

Let "m" be the number of months for which felix paid

Therefore we get,

amount paid = annual fee + ( additional fee x m)

185 = 20 + 15(m)

185 - 20 = 15m

15m = 165

m = 11

Thus Felix paid for 11 months

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)