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Answer :
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.
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.
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