Under his cell phone plan, Angel pays a flat cost of $35 per month and $5 per gigabyte. He wants to keep his bill under $50 per month. Write and solve an inequality which can be used to determine x*x*, the number of gigabytes Angel can use while staying within his budget.

To determine the maximum number of gigabytes Angel can use while keeping his bill under $50, we need to set up and solve an inequality.

### Step 1: Understand the cost structure.
- Angel pays a flat fee of $35 per month.
- He also pays $5 per gigabyte of data usage.

### Step 2: Set up the inequality.
Let $ x $ represent the number of gigabytes Angel can use.

The total cost per month would be the sum of the flat fee and the cost of data usage:
\[
\text{Total Cost} = 35 + 5x
\]
We want the total cost to be less than $50:
\[
35 + 5x < 50
\]

### Step 3: Solve the inequality.
Subtract 35 from both sides:
\[
5x < 50 - 35
\]
Simplify:
\[
5x < 15
\]
Now, divide both sides by 5:
\[
x < \frac{15}{5}
\]
\[
x < 3
\]

### Conclusion:
Angel can use **less than 3 gigabytes** of data to keep his bill under $50. Since he can't use a fraction of a gigabyte while staying under the limit, he can use **up to 2 GB**.

Would you like more details on this? 

Here are 5 related questions:

1. What happens if Angel uses exactly 3 GB?
2. How would the inequality change if the flat cost increases?
3. What if the cost per gigabyte increases to $6 per gigabyte?
4. Can Angel save money by reducing his data usage further?
5. How would the solution change if Angel's budget was $60?

**Tip:** Always check your solution by substituting values back into the original inequality.

Learn how to calculate the maximum number of gigabytes Angel can use while keeping his monthly bill under $50. This problem involves setting up and solving a linear inequality, incorporating a flat fee and variable cost per gigabyte.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation