To find out how much 5 feet and 6 inches of thread would cost if the thread costs [tex]$6.50 per foot, let’s break down the problem step-by-step.
1. Understand the Conversion:
- We need to convert inches to feet because the cost is given per foot, not per inch.
- There are 12 inches in a foot. So, to convert inches to feet, we divide the number of inches by 12.
- 6 inches is equivalent to \( \frac{6}{12} = 0.5 \) feet.
2. Calculate the Total Length in Feet:
- We have 5 feet and 6 inches. We now know that 6 inches equals 0.5 feet.
- Therefore, the total length of the thread is:
\[
5 + 0.5 = 5.5 \text{ feet}
\]
3. Calculate the Total Cost:
- The cost per foot of the thread is $[/tex]6.50.
- To find the total cost, we multiply the total length in feet by the cost per foot:
[tex]\[
5.5 \text{ feet} \times 6.50 \text{ dollars/foot} = 35.75 \text{ dollars}
\][/tex]
Therefore, the cost of 5 feet and 6 inches of thread is $35.75.
