How much will it cost to purchase materials for a fence if 97 feet are needed and the fencing costs [tex]$36.62[/tex] per yard?

Set up the problem below and calculate the cost. Place your conversion factors in order such that "feet" cancels first.

\[
\begin{array}{c}
97 \text{ feet } \times \bar{\square} \times \bar{\square} \\
=\$
\end{array}
\]

Drag and drop your selection from the following list to complete the answer:
- [tex]$36.62[/tex]
- 97 yards
- 1 foot
- 3 feet
- [tex]\$[/tex]1
- 3 yards
- 1 yard
- 97 feet
- 36.62 yards

To solve the problem of calculating the cost to purchase materials for a fence, let's break it down step-by-step. We need to follow the order of the conversion factors to ensure the units cancel out correctly.

1. Start with the total length of the fence in feet:
[tex]\[
97 \text{ feet}
\][/tex]

2. Convert feet to yards, knowing there are 3 feet in a yard:
[tex]\[
97 \text{ feet} \times \frac{1 \text{ yard}}{3 \text{ feet}}
\][/tex]

By doing this conversion, the units of feet will cancel out, leaving us with the length of the fence in yards.

3. Calculate the fence length in yards:
[tex]\[
97 \div 3 = 32.3333\ldots \text{ yards}
\][/tex]

4. Now, calculate the cost by multiplying the number of yards by the price per yard:
[tex]\[
32.3333\ldots \text{ yards} \times \$36.62 = \$1184.05
\][/tex]

Thus, the total cost to purchase the materials for the fence is approximately \$1184.05.