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.
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.