Question

1. 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. a. write an inequality which can be used to determine x, the number of gigabytes angel can use while staying within his budget. b. how many gigabytes can angel use and stay in budget?

Explanation:

Step1: Set up the inequality

The flat - cost is $35$ and the cost per gigabyte is $5$. The total cost is the sum of the flat - cost and the cost for the data used. Let $x$ be the number of gigabytes. The total cost $C = 35+5x$. Angel wants to keep his bill under $50$, so the inequality is $35 + 5x<50$.

Step2: Solve the inequality for $x$

Subtract 35 from both sides of the inequality: $5x<50 - 35$, which simplifies to $5x<15$. Then divide both sides by 5: $x < \frac{15}{5}$, so $x<3$.

Answer:

Angel can use less than 3 gigabytes to stay within his budget.