Question

each month your cell phone company charges you $60 for your plan plus $2.00 for each gb of data you use. you have $150 budgeted for cell phone expenses for the month. construct an inequality to make a determination about the number of gb of data you can use each month. round your answer to one decimal place. you can use select an answer gb of data this month in order to stay within your budget.

Explanation:

Step1: Set up the inequality

Let $x$ be the number of GB of data used. The cost of the plan is $60$ and the cost per - GB of data is $2x$. The total cost must be less than or equal to the budget of $150$. So the inequality is $60 + 2x\leqslant150$.

Step2: Solve the inequality for $x$

Subtract $60$ from both sides of the inequality: $2x\leqslant150 - 60$, which simplifies to $2x\leqslant90$.

Step3: Isolate $x$

Divide both sides of the inequality by $2$: $x\leqslant\frac{90}{2}$, so $x\leqslant45.0$.

Answer:

You can use at most $45.0$ GB of data this month in order to stay within your budget.