A phone carrier charges an extra fee if a customer uses more than 500 minutes each month. Tom has already used 230 minutes this month.

Question

Which inequality can be used to find how many more minutes he can use without going over the limit?

(1 point)
Responses

230 + m > 500
230 + m > 500

230 + m ≥ 500
230 + m ≥ 500

230 + m < 500
230 + m < 500

230 + m ≤ 500

Answer 1

To determine how many more minutes Tom can use without exceeding the limit of 500 minutes, we can set up the inequality based on the information given:

• Tom has already used 230 minutes.
• He can use up to 500 minutes total.

Let \( m \) represent the number of additional minutes he can use. The total minutes used would be \( 230 + m \).

To find the maximum additional minutes he can use without going over 500, we need to ensure that the total does not exceed 500. Thus, we set up the inequality:

\[ 230 + m ≤ 500 \]

This means that Tom can use a total of 500 minutes, including the 230 minutes he has already used.

So, the correct inequality is:

230 + m ≤ 500.