Answer:
#1. k =
![(11)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/cxamwt5ue70twd38w6p9g0i3w7ybaezkss.png)
#2. Felix paid for 11 months
Explanation:
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 an 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
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