Questions: A gym offers a membership for 50 to join and 15 per month. Each month, members can attend unlimited fitness classes. Using x as the independent variable, and y as the dependent variable, write an equation that represents the total cost of belonging to the gym for a number of months.

A gym offers a membership for 50 to join and 15 per month. Each month, members can attend unlimited fitness classes. Using x as the independent variable, and y as the dependent variable, write an equation that represents the total cost of belonging to the gym for a number of months.
Transcript text: A gym offers a membership for $50 to join and $15 per month. Each month, members can attend unlimited fitness classes. Using $x$ as the independent variable, and $y$ as the dependent variable, write an equation that represents the total cost of belonging to the gym for a number of months.
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Solution

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Solution Steps

To find the total cost of belonging to the gym for a number of months, we need to consider both the initial membership fee and the monthly fee. The total cost \( y \) can be expressed as a linear equation in terms of the number of months \( x \). The initial fee is a constant, and the monthly fee is multiplied by the number of months.

Step 1: Define the Total Cost Equation

The total cost \( y \) of belonging to the gym for \( x \) months can be expressed with the equation: \[ y = 50 + 15x \] where \( 50 \) is the initial membership fee and \( 15 \) is the monthly fee.

Step 2: Calculate the Total Cost for 5 Months

To find the total cost for \( x = 5 \) months, substitute \( 5 \) into the equation: \[ y = 50 + 15(5) \] Calculating this gives: \[ y = 50 + 75 = 125 \]

Final Answer

The total cost for 5 months is \(\boxed{125}\).

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