Under his cell phone plan, Tyler pays a flat cost of $49.50 per month and $5 per gigabyte. He wants to keep his bill under $85 per month. Which inequality can be used to determine gg, the maximum number of gigabytes Tyler can use while staying within his budget?

Answer
Multiple Choice Answers
85, is greater than, 49, point, 5, plus, 5, g85>49.5+5g
85, is less than, 49, point, 5, plus, 5, g85<49.5+5g
49, point, 5, g, plus, 5, is greater than, 8549.5g+5>85
49, point, 5, g, plus, 5, is less than, 8549.5g+5<85

1 answer

To determine an inequality for the maximum number of gigabytes Tyler can use while keeping his bill under $85 per month, we start by defining the components of his bill.

Tyler has a flat charge of $49.50 per month and an additional charge of $5 for each gigabyte used. If \( g \) represents the number of gigabytes Tyler uses, his total monthly bill can be expressed as:

\[ 49.50 + 5g \]

Since Tyler wants to keep his total bill under $85, we can set up the following inequality:

\[ 49.50 + 5g < 85 \]

Thus, the correct inequality that can be used to determine \( g \) is:

\[ 85 > 49.5 + 5g \]

So, the correct answer from the multiple choice options is:

85 > 49.5 + 5g