Question

A family's cell phone plan costs $90 per month for 1,000 minutes and 30 cents per minute over the limit. This month the family paid $109.50. By how much time did they exceed their plan?

Answer 1

The family's cell phone plan included 1,000 minutes, and they paid extra for exceeding this limit. By calculating the overage charges, we determined that they exceeded their plan by 65 minutes.

Step-by-step explanation:

The subject of this question is Mathematics, specifically involving word problems related to finance. To answer the student's question: the family's cell phone plan costs $90 per month for 1,000 minutes and 30 cents per minute over the limit. This month the family paid $109.50. The question asks by how much time did they exceed their plan.

To find the number of excess minutes:

1. First, subtract the monthly plan cost from the total amount paid to determine the extra amount paid for additional minutes: $109.50 - $90 = $19.50.
2. Since each additional minute costs 30 cents, divide the extra amount paid by the cost per additional minute: $19.50 / $0.30 = 65 minutes.

Therefore, the family exceeded their plan by 65 minutes this month.