Question

under his cell phone plan, corey pays a flat cost of $55.50 per month and $4 per gigabyte. he wants to keep his bill at $74.30 per month. which tape diagram could be used to represent the context if g represents the number of gigabytes of data corey can use while staying within his budget?

Explanation:

Step1: Set up cost - equation

The flat cost is $55.50$ and the cost per gigabyte is $4$. The total cost $C$ is given by the equation $C = 55.50+4g$. We know that $C = 74.30$. So, $55.50 + 4g=74.30$.

Step2: Solve for $g$

Subtract $55.50$ from both sides of the equation:
$4g=74.30 - 55.50$
$4g = 18.80$
Then divide both sides by $4$:
$g=\frac{18.80}{4}=4.7$

However, since the question asks for the tape - diagram representation:
The tape - diagram would have one part representing the flat cost of $55.50$ and another part (divided into $g$ equal sub - parts) representing the cost per gigabyte. The total length of the tape - diagram would represent the total bill of $74.30$.

Since we don't have the options for the tape - diagrams, we can't give a specific choice. But conceptually, it would be a tape divided into two main parts: one fixed part of length $55.50$ and another part divided into $g$ equal segments where each segment has a length of $4$ and the total length of the tape is $74.30$.

If we were just solving for the number of gigabytes:

Answer:

$g = 4.7$