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? a tape - diagram - a b tape - diagram - b c tape - diagram - c d tape - diagram - d answer a b c d

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 $C = 55.50+4g$, and we want $C = 74.30$.

Step2: Analyze tape - diagram structure

The flat cost of $55.50$ is a single fixed part, and the variable part is $4$ per gigabyte. The total length of the tape - diagram should represent $74.30$. The variable part is $4g$ (since $4$ is the cost per gigabyte and $g$ is the number of gigabytes), and the fixed part is $55.50$. So the tape - diagram should have a part of length $55.50$ and then $g$ number of parts of length $4$ to sum up to $74.30$.

Answer:

A. Option A