Problem

Under his cell phone plan, Jackson pays a flat cost of $\$ 44$ per month and \$4 per gigabyte. He wants to keep his bill under $\$ 45$ per month. Which inequality can be used to determine $g$, the maximum number of gigabytes Jackson can use while staying within his budget? Answer $45<4(g+44)$ $45<4 g+44$ $45>4 g+41$ $15>1(g+41)$ Submit Answer

Solution

Step 1 :The question is asking for an inequality that represents the maximum number of gigabytes Jackson can use while staying within his budget. The flat cost per month is \$44 and each gigabyte costs \$4. The total cost should be less than or equal to \$45. Therefore, the inequality should be \(44 + 4g \leq 45\).

Step 2 :The solution to the equation is \(\frac{1}{4}\). However, this is not the final answer because the question asks for an inequality, not an equation. The inequality should be \(44 + 4g \leq 45\). Since the solution to the equation is \(\frac{1}{4}\), the solution to the inequality should be \(g \leq \frac{1}{4}\).

Step 3 :Final Answer: The inequality that can be used to determine \(g\), the maximum number of gigabytes Jackson can use while staying within his budget, is \(\boxed{g \leq \frac{1}{4}}\).

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Source: https://solvelyapp.com/problems/ov5pCmQbOk/

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