Question

i can solve real-world inequalities.

1. sam can join a gym for $25.00 per month or for a flat rate of $500.00. what is the minimum number of months sam would have to be a gym member to make the flat rate a better choice?

inequality
inequality answer

Explanation:

Step1: Define variable and inequality

Let \( m \) be the number of months. The cost for monthly membership is \( 25m \), and we want the flat rate (\( 500 \)) to be better, so \( 25m > 500 \).

Step2: Solve the inequality

Divide both sides by \( 25 \): \( m > \frac{500}{25} \), so \( m > 20 \). Since \( m \) must be an integer, the minimum number of months is \( 21 \).

Answer:

The minimum number of months is \( 21 \).