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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.
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.