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.

1 answer

The flat cost per month is $52.50 and Gabriel pays $5 per gigabyte. Let's assume gg is the number of gigabytes Gabriel can use while staying within his budget.
The cost per month due to gigabytes is 5gg.
To stay within a $75 budget, the inequality is 52.50 + 5gg ≤ 75.
Now we can solve for gg by isolating it:
5gg ≤ 75 - 52.50
5gg ≤ 22.50
gg ≤ 22.50/5
gg ≤ <<22.50/5=4.50>>4.50
Therefore, Gabriel can use a maximum of 4.5 gigabytes while staying within his budget.