Sure, let's break this down step by step:
1. Calculate the total cost of the cloth before tax:
Alice bought 3 yards of cloth, and each yard costs [tex]$1.93. We calculate the total cost before tax as follows:
\[
\text{Total cost before tax} = \text{Number of yards} \times \text{Cost per yard} = 3 \times 1.93 = \$[/tex] 5.79
\]
2. Calculate the sales tax amount:
The sales tax rate is 5%. To find the sales tax amount, we calculate 5% of the total cost before tax:
[tex]\[
\text{Sales tax amount} = \text{Total cost before tax} \times \text{Sales tax rate} = 5.79 \times 0.05 = \$ 0.2895
\][/tex]
3. Calculate the total cost after adding sales tax:
To find the total amount that Alice paid, we add the sales tax amount to the total cost before tax:
[tex]\[
\text{Total cost after tax} = \text{Total cost before tax} + \text{Sales tax amount} = 5.79 + 0.2895 = \$ 6.0795
\][/tex]
Rounding it to the nearest cent, the total cost becomes:
[tex]\[
\$ 6.08
\][/tex]
Thus, the best answer is:
D. \$ 6.08
