Agym charges $40 per month after an initial service fee. one member paid a total of $255 after 6 months. find the equation that gives the total cost y of a gym membership for x months.

The required equation is,

y = 15 + 40x

Step-by-step explanation:

Given,

Total charges of gym = Initial service fee +  $ 40 per month

Thus, the total charges for 6 months = Initial service fee +  40 × 6 =  Initial service fee +  240

According to the question,

Initial service fee +  240 = 255

⇒ Initial service fee = 255 - 240 = $ 15

Hence, the total charges of gym for x months = 15 + 40x

Here, y represents the total charges for x months,

⇒ y = 15 + 40x

Which is the required equation.