Question

a gym membership costs $25 monthly. which inequality shows cost for no more than $150?
25m ≤ 150
25m > 150
m - 25 ≤ 150
m + 25 ≤ 150

Explanation:

Step1: Define the cost formula

Let \( m \) be the number of months. The monthly cost is \(\$25\), so the total cost for \( m \) months is \( 25m \) dollars.

Step2: Interpret "no more than \(\$150\)"

"No more than" means the total cost is less than or equal to \(\$150\). So we set up the inequality \( 25m \leq 150 \).

Step3: Analyze other options

• For \( 25m>150 \), this represents the cost being more than \(\$150\), which is not what we want.
• For \( m - 25\leq150 \), this is not related to the total cost of the gym membership (it involves \( m-25 \) which has no meaning in this context).
• For \( m + 25\leq150 \), this also is not related to the total cost of the gym membership (it involves \( m + 25 \) which has no meaning in this context).

Answer:

\( 25m \leq 150 \) (the first option)