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 $$ \begin{array}{l}x=\frac{61-44.5}{5} \ 61=5+44.5 x\end{array} x=\frac{61-5}{44.5} $$

Question

UpStudy AI · Accepted Answer

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:**
$$
x = \frac{61 - 44.5}{5}
$$

$$
x = \frac{61 - 44.5}{5}
$$
To find out how many gigabytes $$ x $$ Ian can use while keeping his monthly bill at $$ \$61 $$, use the equation: $$ x = \frac{61 - 44.5}{5} $$ This simplifies to: $$ x = 3.3 $$ So, Ian can use **3.3 gigabytes** of data each month.

Real Tutor Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Algebra Questions