Summers Watkins
11/20/2023 · Junior High School

Question 21 A gym offers your first session of every month free of charge and thereafter charges you R35 per session. Recently, the gym has added another option that allows you to pay a fixed amount of R100 per month plus a fee of R 20 for each session. Let \( x \) represent the number of gym sessions per month. Let \( y \) represent the total cost per month. The total monthly cost for your gym sessions depends on the number of times you visit the gym per month. The system of linear equations that will help you decide which option suits you the best, is

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The system of linear equations for the two gym options is: \[ \begin{align*} y &= 35x - 35 \quad \text{(Option 1, for } x \geq 2\text{)} \\ y &= 100 + 20x \quad \text{(Option 2)} \end{align*} \]

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