To determine how much the customer should be charged for purchasing [tex]\(5\frac{3}{4}\)[/tex] (five and three-fourths) pounds of nails, follow these steps:
1. Convert the mixed number to an improper fraction or a decimal.
[tex]\( 5 \frac{3}{4} \)[/tex] pounds can be converted to a decimal:
[tex]\[
5 \frac{3}{4} = 5 + \frac{3}{4} = 5 + 0.75 = 5.75 \text{ pounds}
\][/tex]
2. Determine the cost per pound.
The cost per pound is given as [tex]$0.80 (80 cents).
3. Multiply the cost per pound by the total pounds purchased.
\[
\text{Total cost} = \text{cost per pound} \times \text{total pounds}
\]
\[
\text{Total cost} = 0.80 \times 5.75
\]
4. Calculate the total cost.
\[
\text{Total cost} = 0.80 \times 5.75 = 4.60
\]
Therefore, the customer should be charged \(\$[/tex]4.60\) for the nails. The correct answer is [tex]\(\$4.60\)[/tex].
