Under his cell phone plan, Logan pays a flat cost of $58 per month and $3 per gigabyte. He wants to keep his bill under $70 per month. Use the drop-down menu below to write an inequality representing gg, the number of gigabytes he can use while staying within his budget.

To express the inequality that represents the number of gigabytes, **g**, Logan can use while keeping his monthly bill under $70, we need to account for both the flat cost and the per-gigabyte charge.

- The flat cost Logan pays per month is **$58**.
- He pays **$3 per gigabyte**.

Let **g** represent the number of gigabytes. The total monthly bill will be:

\[
58 + 3g
\]

Logan wants to keep his total bill **under** $70, so the inequality becomes:

\[
58 + 3g < 70
\]

### Solving for **g**:
1. Subtract 58 from both sides:
   \[
   3g < 70 - 58
   \]
   \[
   3g < 12
   \]

2. Divide by 3:
   \[
   g < \frac{12}{3}
   \]
   \[
   g < 4
   \]

Thus, Logan can use **less than 4 gigabytes** to keep his bill under $70.

Do you have any questions or would you like more details? Here are 5 related questions to explore further:

1. How would the inequality change if the flat rate increased to $60 per month?
2. If Logan uses exactly 4 gigabytes, how much will his total bill be?
3. What is the maximum number of gigabytes Logan can use if his budget is increased to $75?
4. How much will Logan pay if he uses 3.5 gigabytes in a month?
5. How does the total bill vary if the per-gigabyte cost is changed to $2?

**Tip:** When solving inequalities, always remember to reverse the inequality symbol if you multiply or divide by a negative number.

Under his cell phone plan, Logan pays a flat cost of $58 per month and $3 per gigabyte. He wants to keep his bill under $70 per month. Use the drop-down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget.

Learn how to represent and solve the inequality 58 + 3g < 70 to determine how many gigabytes Logan can use while keeping his phone bill under $70. This problem covers key algebraic concepts such as inequalities and linear equations, suitable for students in Grades 6-8.

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