Question

Under his cell phone plan, Jackson pays a flat cost of $44 per month and $4 per gigabyte. Не 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(9+44)

45 < 4g+44

45 < 4g+44

45 > 4(g+44)

Answer 1

To determine the maximum number of gigabytes \( g \) that Jackson can use while keeping his cell phone bill under $45 per month, we can set up the following inequality based on his costs.

Jackson's monthly bill consists of a flat fee of $44 plus an additional charge of $4 per gigabyte used. Therefore, the total cost \( C \) can be represented as:

\[
C = 44 + 4g
\]

To keep his bill under $45, we set up the inequality:

\[
44 + 4g < 45
\]

Now, we can simplify this inequality:

1. Subtract 44 from both sides:

\[
4g < 1
\]

2. Divide both sides by 4:

\[
g < \frac{1}{4}
\]

Thus, \( g \) must be less than \( \frac{1}{4} \) gigabytes.

Based on your provided options, the correct inequality that can be used to determine \( g \) is:

**45 > 4g + 44** → This is equivalent to the inequality we derived, rearranged.

So, the correct choice among the options you presented is:

**45 > 4g + 44**.