Under his cell phone plan, Gavin pays a flat cost of $62.50 per month and $5 per gigabyte. He wants to keep his bill at $86.50 per month. How many gigabytes of data can he use while staying within his budget?

Gavin pays a flat cost of $62.50 per month, and an additional $5 per gigabyte (GB) of data. He wants his total bill to be no more than $86.50. 

Let $ x $ represent the number of gigabytes he can use. The total cost for the month can be modeled by the equation:

\[
62.50 + 5x = 86.50
\]

To solve for $ x $:

1. Subtract 62.50 from both sides:
\[
5x = 86.50 - 62.50
\]
\[
5x = 24
\]

2. Divide both sides by 5:
\[
x = \frac{24}{5} = 4.8
\]

Therefore, Gavin can use up to 4.8 gigabytes of data to stay within his $86.50 budget.

Would you like more details on any part of the process?

Here are 5 related questions you could explore:
1. What would his bill be if he used 6 gigabytes of data?
2. How much would Gavin save by reducing his data usage to 3 gigabytes?
3. If his flat cost increases by 10%, how does this affect his bill?
4. What is the cost per gigabyte as a percentage of his total bill?
5. How much does he pay in total for data alone if he uses 4 gigabytes?

**Tip:** To stay within a budget, always identify fixed costs first and then calculate how variable expenses (like data usage) will affect the total.

Discover how to calculate the maximum gigabytes of data Gavin can use while staying within his $86.50 budget. This problem involves solving a linear equation based on a flat cost and a per-gigabyte rate. Suitable for Grades 6-8 students.

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