Question

under her cell phone plan, aubree pays a flat cost of $58.50 per month and $3 per gigabyte. she wants to keep her bill at $72.30 per month. how many gigabytes of data can she use while staying within her budget?

Explanation:

Step1: Define the variable

Let \( x \) be the number of gigabytes of data Aubree can use.

Step2: Set up the equation

The total cost is the flat cost plus the cost per gigabyte times the number of gigabytes. So the equation is \( 58.50 + 3x = 72.30 \).

Step3: Solve for \( x \)

Subtract \( 58.50 \) from both sides: \( 3x = 72.30 - 58.50 \).
Calculate the right side: \( 3x = 13.80 \).
Divide both sides by \( 3 \): \( x=\frac{13.80}{3} \).
Calculate the result: \( x = 4.6 \).

Answer:

Aubree can use 4.6 gigabytes of data.