Question

A gym charges $35 per month after an initial membership fee. A member has paid a total of$250 after 6 months. Write an equation that gives the total cost of a gym membership as a function of length of membership (in months). Find the total cost of membership after 10 months.

1. The required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.

### What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax’s order of operations and other features.
Total charges of gym = Initial service fee +  $35 per month Thus, the total charges for 6 months = Initial service fee + 35 × 6 = Initial service fee + 210 According to the question, Initial service fee + 210 = 250 ⇒ Initial service fee = 250 – 210 =$ 40
Hence, the total charges for the gym for x months = 40 + 35x. Here, y represents the total charges for x months,
⇒  y = 40 + 35 x
The total cost of the membership after 10 months will be calculated as:-
y = 40 + 35 x
y = 40 + 35 x 10
y = 390
Therefore, the required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.
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