Under his cell phone plan, Jayden pays a flat cost of $41 per month and $5 per gigabyte. He wants to keep his bill under $65 per month. Which inequality can be used to determine gg, the maximum number of gigabytes Jayden can use while staying within his budget?

Question

Answer
Multiple Choice Answers
65, is greater than, 41, g, plus, 565>41g+5
41, plus, 5, g, is less than, 6541+5g<65
65, is less than, 41, g, plus, 565<41g+5
41, plus, 5, g, is greater than, 6541+5g>65

Answer 1

To determine the maximum number of gigabytes \( g \) that Jayden can use while keeping his bill under $65, we start with the total cost equation:

\[ \text{Total Cost} = \text{Flat Cost} + \text{Cost per GB} \times \text{Number of GB} \]

In this case, the flat cost is $41 and the cost per gigabyte is $5, so we can express this as:

\[ \text{Total Cost} = 41 + 5g \]

We want this total cost to be less than $65:

\[ 41 + 5g < 65 \]

Now we can isolate \( g \):

1. Subtract 41 from both sides:

\[ 5g < 65 - 41 \] \[ 5g < 24 \]

2. Divide both sides by 5:

\[ g < \frac{24}{5} \] \[ g < 4.8 \]

Since \( g \) represents gigabytes used, it must be a whole number. Therefore, the maximum integer value for \( g \) is 4.

From the options provided, the correct inequality that matches our derived inequality is:

\[ 41 + 5g < 65 \]

So the answer is:

41 + 5g < 65