Question

select the correct answer.

a ski rental store rents a pair of skis for \\$44 a day and a snowboard for \\$58 a day. yesterday, the store made \\$2,232 on ski and snowboard rentals. they rented 9 more pairs of skis than snowboards. write a system of equations that could be used to represent this situation and to find the number of ski rentals and snowboard rentals.

\

$$\begin{aligned} 44x + 58y &= 2,232 \\\\ x &= y - 9 \\end{aligned}$$

\

$$\begin{aligned} 44x + 58y &= 2,232 \\\\ y &= x + 9 \\end{aligned}$$

\

$$\begin{aligned} 44x + 58y &= 2,232 \\\\ x + y &= 9 \\end{aligned}$$

\

$$\begin{aligned} 44x + 58y &= 2,232 \\\\ y &= x - 9 \\end{aligned}$$

Explanation:

⚡ Using what you learned: introduction to systems of equations

Step 1: Define variables

Let \( x \) be the number of ski rentals and \( y \) be the number of snowboard rentals.

Step 2: Set up the revenue equation

The store charges \$44 per ski rental and \$58 per snowboard rental, making a total of \$2,232:

$$ 44x + 58y = 2,232 $$

Step 3: Set up the quantity relationship equation

They rented 9 more pairs of skis (\( x \)) than snowboards (\( y \)):

$$ x = y + 9 $$

Rearranging this to express \( y \) in terms of \( x \):

$$ y = x - 9 $$

Answer:

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(This corresponds to the fourth option)