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 xx, the number of gigabytes Angel can use while staying within his budget.

Question

GPT-4o mini · Answer

To determine the number of gigabytes $ x $ that Angel can use while keeping his bill under $50 per month, we can set up the following inequality based on his cell phone plan. The total cost $ C $ of his cell phone plan can be expressed as: $$ C = 35 + 5x $$ where: - $ 35 $ is the flat monthly cost, - $ 5x $ represents the cost for $ x $ gigabytes of data. To keep his bill under $50, we set up the inequality: $$ 35 + 5x < 50 $$ Next, we will solve this inequality for $ x $. 1. Subtract $ 35 $ from both sides: $$ 5x < 50 - 35 $$ $$ 5x < 15 $$ 2. Divide both sides by $ 5 $: $$ x < \frac{15}{5} $$ $$ x < 3 $$ This means that Angel can use fewer than 3 gigabytes of data to keep his bill under $50 per month. Therefore, the greatest whole number of gigabytes he can use is **2 gigabytes**.