Wanda's homework was to find [tex]\( 73\% \)[/tex] of [tex]\( \$400 \)[/tex].

[tex]\[ (7.3)(400) = 2,920 \][/tex]
[tex]\[ 73\% \text{ of } \$400 \text{ is } \$2,920 \][/tex]

What error did Wanda make?

A. None. Wanda's work is correct.
B. Wanda converted the percent to a decimal incorrectly. It should be 0.073.
C. Wanda converted the percent to a decimal incorrectly. It should be 0.73.
D. Wanda has the wrong label. It should be hours, not dollars.



Answer :

Wanda made an error in converting the percentage to a decimal. Let's go through the correct steps to determine [tex]$73\%$[/tex] of [tex]$\$[/tex]400[tex]$. 1. Convert the Percent to a Decimal: - To convert $[/tex]73\%[tex]$ to a decimal, you divide by $[/tex]100[tex]$. - $[/tex]73\% = \frac{73}{100} = 0.73[tex]$ 2. Multiply the Decimal by the Given Value: - Now, you need to find $[/tex]73\%[tex]$ of $[/tex]\[tex]$400$[/tex].
- This can be calculated by multiplying [tex]$0.73$[/tex] by [tex]$\$[/tex]400[tex]$. - $[/tex]0.73 \times 400 = 292[tex]$ Thus, $[/tex]73\%[tex]$ of $[/tex]\[tex]$400$[/tex] is [tex]$\$[/tex]292[tex]$. The error Wanda made is that she incorrectly converted $[/tex]73\%[tex]$ to $[/tex]7.3[tex]$ instead of $[/tex]0.73[tex]$. Therefore, $[/tex]73\%[tex]$ of $[/tex]\[tex]$400$[/tex] is [tex]$\$[/tex]292[tex]$, not $[/tex]\[tex]$2,920$[/tex].