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 which can be used to determine gg, the number of gigabytes Gabriel can use while staying within his budget.

Answer 1

Let g be the number of gigabytes. The inequality is
52.50 + 5g < 75.

Solve:
5g < 75 − 52.50
5g < 22.50
g < 4.5.

So Gabriel can use less than 4.5 GB. If g must be a whole number of gigabytes, he can use at most 4 GB.