Question

Under his cell phone plan, Gabriel pays a flat cost of $52.50 per month and $5 per gigabyte. He wants to keep his bill under $75 per month. Write and solve an inequality that can be used to determine gg, the number of gigabytes Gabriel can use while staying within his budget.

Answer 1

Gabriel can use up to 4.5 gigabytes of data to keep his phone bill under $75 per month, based on his cell phone plan that includes a flat cost of $52.50 and $5 per gigabyte.

Step-by-step explanation:

The question asks for an inequality to determine the number of gigabytes Gabriel can use while staying within his budget under his cell phone plan. To solve this, we set up an inequality that incorporates the fixed monthly cost and the variable cost per gigabyte.

Gabriel's plan has a fixed cost of $52.50 per month and costs $5 per gigabyte. He wants to keep his bill under $75. We represent the number of gigabytes he can use as g. The inequality will be:

52.50 + 5g ≤ 75

To solve for g, we first subtract 52.50 from both sides:

5g ≤ 75 - 52.50

5g ≤ 22.50

Now, we divide both sides by 5 to solve for g:

g ≤ 22.50 / 5

g ≤ 4.5

Therefore, Gabriel can use up to 4.5 gigabytes of data to keep his cell phone bill under $75.