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.