Under his cell phone plan, Ian pays a flat cost of \( \$ 44.50 \) per month and \( \$ 5 \) per gigabyte. He wants to keep his bill at \( \$ 61 \) per month. Which equation could be used to determine \( x \), the number of gigabytes of data Ian can use while staying within his budget? Answer \[ \begin{array}{l}x=\frac{61-44.5}{5} \\ 61=5+44.5 x\end{array} x=\frac{61-5}{44.5} \] \[ \]

To determine the number of gigabytes \( x \) Ian can use while keeping his monthly bill at \( \$61 \), you can set up the following equation based on his cell phone plan: 1. **Flat Cost**: Ian pays a flat rate of \( \$44.50 \) per month. 2. **Data Cost**: He also pays \( \$5 \) for each gigabyte of data used. The total monthly bill can be expressed as: \[ \text{Total Cost} = \text{Flat Cost} + (\text{Cost per GB} \times \text{Number of GB}) \] \[ 61 = 44.50 + 5x \] To solve for \( x \): \[ \begin{align*} 61 - 44.50 &= 5x \\ 16.50 &= 5x \\ x &= \frac{16.50}{5} \\ x &= 3.3 \end{align*} \] So, Ian can use **3.3 gigabytes** of data to keep his bill at \( \$61 \) per month. **The equation used is:** \[ x = \frac{61 - 44.5}{5} \] \[ x = \frac{61 - 44.5}{5} \]