Answer :

To find the total cost of 21.5 yards of carpet when the cost per yard is \[tex]$7.84, we need to multiply the cost per yard by the number of yards. Here is a step-by-step solution: 1. Identify the cost per yard of the carpet: \$[/tex]7.84 per yard.
2. Identify the number of yards needed: 21.5 yards.
3. Multiply the cost per yard by the number of yards to find the total cost:

[tex]\[ \text{Total Cost} = \text{Cost per yard} \times \text{Number of yards} \][/tex]

Substitute the given values:

[tex]\[ \text{Total Cost} = 7.84 \, (\$ \text{per yard}) \times 21.5 \, (\text{yards}) \][/tex]

4. Perform the multiplication:

[tex]\[ 7.84 \times 21.5 = 168.56 \][/tex]

So, the cost of 21.5 yards of carpet is \$168.56.