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 exceeded their plan by 65 minutes.

Step-by-step explanation:

To find out how much time the family exceeded their plan, we need to subtract the cost of the base plan from the total amount paid. The base plan costs $90 per month for 1,000 minutes. So, $90 covers the cost of the first 1,000 minutes. The remaining $19.50 ($109.50 - $90) would be the cost for the additional minutes used.

To find out how many minutes this cost represents, we can divide the additional cost by the cost per minute over the limit. $19.50 / $0.30 = 65 minutes

Therefore, the family exceeded their plan by 65 minutes.

The student is asking how much time the family exceeded their cell phone plan limit if they paid $109.50 instead of the usual $90 for 1,000 minutes. First, we find the additional cost they paid by subtracting the monthly plan cost from the total cost: $109.50 - $90 = $19.50. Next, we calculate the number of extra minutes they used by dividing the additional cost by the per-minute charge over the included minutes, which is 30 cents or $0.30. So, the excess time used is calculated as $19.50 / $0.30 per minute = 65 minutes.