Let gg represent the number of gigabytes Gabriel can use while staying within his budget.
The flat cost Gabriel pays per month is $52.50, and he also pays an additional $5 per gigabyte. Therefore, the total cost per month can be represented by the equation:
Total cost = $52.50 + $5(gg)
Gabriel wants to keep his bill under $75 per month, so we can set up the inequality:
Total cost ≤ $75
$52.50 + $5(gg) ≤ $75
To solve this inequality for gg, we will first subtract $52.50 from both sides:
$5(gg) ≤ $75 - $52.50
$5(gg) ≤ $22.50
Next, we divide both sides by $5:
gg ≤ $22.50 / $5
gg ≤ 4.5
Therefore, Gabriel can use a maximum of 4.5 gigabytes while staying within his budget. Since gigabytes cannot be fractional, we can conclude that Gabriel can use a maximum of 4 gigabytes while staying within his budget.
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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.
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