Let's closely examine Wanda's approach and identify the mistake she made while calculating [tex]\(73\%\)[/tex] of [tex]\(\$400\)[/tex].
First, understand that to find a certain percentage of a number, we need to convert the percentage to a decimal and then multiply by the given number.
### Step-by-Step Solution:
1. Convert the Percentage to a Decimal:
Percentages are converted to decimals by dividing by 100. Therefore,
[tex]\[
73\% \text{ as a decimal is } \frac{73}{100} = 0.73.
\][/tex]
2. Perform the Multiplication:
Once we have the decimal representation, we multiply it by the given amount.
[tex]\[
\text{Correct Calculation} = 0.73 \times 400
\][/tex]
3. Calculate the Correct Amount:
[tex]\[
0.73 \times 400 = 292.0
\][/tex]
### Identifying Wanda's Mistake:
Wanda's work shows her multiplying 73 (as a whole number, not converted to a percentage correctly) by 400:
[tex]\[
(7.3) \times 400 = 2920.
\][/tex]
Here Wanda mistakenly treats [tex]\(7.3\)[/tex] (from treating [tex]\(73\%\)[/tex] as [tex]\(7.3\)[/tex]) directly in her multiplication without correctly converting [tex]\(73\%\)[/tex] to [tex]\(0.73\)[/tex].
Hence, the correct calculation and result should be:
[tex]\[
73\% \text{ of } \$400 \text{ is } \$292.0
\][/tex]
### Error Identification:
From our detailed walkthrough, it is clear:
- Wanda converted the percent to a decimal incorrectly. It should be 0.73.
Thus, the correct statement that identifies Wanda's mistake is:
[tex]\[
\text{Wanda converted the percent to a decimal incorrectly. It should be 0.73.}
\][/tex]
So, the correct error Wanda made was:
[tex]\[
\boxed{\text{Wanda converted the percent to a decimal incorrectly. It should be 0.73.}}
\][/tex]
