Question

under his cell phone plan, Yusuf pays a flat cost of $57 per month and $5 per gigabyte. He wants to keep his bill under $75 per month. Which inequality can be used to determine gg, the maximum number of gigabytes Yusuf can use while staying within his budget?

Answer 1

Answer: 3

Step-by-step explanation:3gb max per month

Answer 2

The inequality representing the maximum number of gigabytes
`(\( g \))` Yusuf can use while staying within his budget is
`\( g \leq 3.6 \)`. Since
`\( g \)` must be a whole number, Yusuf can use at most 3 gigabytes to stay within his budget.

Let
`\( g \)` be the number of gigabytes Yusuf uses. The total cost
`\( C \)` is given by the flat cost plus the cost per gigabyte:

`\[ C = 57 + 5g \]`

Yusuf wants to keep his bill under $75, so the inequality for his budget constraint is:

`\[ C \leq 75 \]`

Substitute the expression for
`\( C \)`:

`\[ 57 + 5g \leq 75 \]`

Now, you can solve for
`\( g \)` to find the maximum number of gigabytes Yusuf can use while staying within his budget. Subtract 57 from both sides:

`\[ 5g \leq 18 \]`

Divide both sides by 5:

`\[ g \leq 3.6 \]`

So, the inequality representing the maximum number of gigabytes
`(\( g \))` Yusuf can use while staying within his budget is
`\( g \leq 3.6 \)`. Since
`\( g \)` must be a whole number, Yusuf can use at most 3 gigabytes to stay within his budget.