Q:

Ken's fitness member ship cost $100 to join plus a $25 monthly fee. Ken also used a coupon to get 10% off the monthly fee. What equation models the total cost of Ken's fitness membership (C) after a number of months (m)?

Accepted Solution

A:
The equation that models the total cost is y = 100 + 22.5mStep-by-step explanation:Fitness member ship cost = $100Monthly fee = $25Discount = 10% on monthly feeTo calculate new monthly fee after discount, Β 25 - (25*10%) --> 25 - 2.5 --> $22.5Number of months = mFee in m months = 22.5*m = 22.5mEquation:(c) is constant which is the membership fee(x) is the monthly fee $22.5(m) is the number of months(y) is the total costSo,y = mx + cy = m(22.5) + 100y = 100 + 22.5mTherefore, the equation that models the total cost is y = 100 + 22.5mKeyword: EquationLearn more about equations at