Question
Under his cell phone plan, William pays a flat cost of \( \$ 54.50 \) per month and \( \$ 3 \) per gigabyte. He wants to keep his bill at \( \$ 66.20 \) per month. Write and solve an equation which can be used to determine \( g \), the number of gigabytes of data William can use while staying within his budget. \( 70 \% \) Answer Attempt 1 out of 24 Equation: Answer: \( g= \)
Ask by Chan Edwards. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
William can use 3.90 gigabytes of data each month to stay within his \$66.20 budget.
Solution
To determine the number of gigabytes \( g \) William can use while keeping his monthly bill at \$66.20, we can set up and solve the following equation:
**Equation:**
\[
54.50 + 3g = 66.20
\]
**Solving for \( g \):**
\[
\begin{align*}
54.50 + 3g &= 66.20 \\
3g &= 66.20 - 54.50 \\
3g &= 11.70 \\
g &= \frac{11.70}{3} \\
g &= 3.90
\end{align*}
\]
**Answer:**
\[
g = 3.90 \text{ gigabytes}
\]
William can use **3.90 gigabytes** of data each month to stay within his \$66.20 budget.
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Simplify this solution The Deep Dive
To determine how many gigabytes of data \( g \) William can use without exceeding his monthly budget, we can set up the following equation: \[ 54.50 + 3g = 66.20 \] Now, we'll solve for \( g \): 1. Subtract \( 54.50 \) from both sides: \[ 3g = 66.20 - 54.50 \] \[ 3g = 11.70 \] 2. Divide both sides by \( 3 \): \[ g = \frac{11.70}{3} \] \[ g = 3.9 \] Since gigabytes must be a whole number, William can use a maximum of \( 3 \) gigabytes to stay within his budget. So the final answer is \( g = 3 \).
