To find out how many hours Taylor would have to work to earn $881.40 at the same hourly wage, we first need to calculate her hourly wage based on her earnings from the previous week.
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Calculate the hourly wage: Taylor earned $203.40 for 99 hours. Her hourly wage can be calculated as follows:
\[ \text{Hourly Wage} = \frac{\text{Total Earnings}}{\text{Total Hours}} = \frac{203.40}{99} \]
Performing the calculation:
\[ \text{Hourly Wage} = 2.05 \]
So, Taylor's hourly wage is $2.05.
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Calculate how many hours she needs to work to earn $881.40: Now, we want to find out how many hours (let's call it \( h \)) Taylor needs to work to earn $881.40 at the hourly wage of $2.05. We can set up the equation:
\[ 2.05h = 881.40 \]
To solve for \( h \), we divide both sides by $2.05:
\[ h = \frac{881.40}{2.05} \]
Performing the division:
\[ h = 429 \]
Therefore, Taylor would have to work 429 hours to earn $881.40 at her current hourly wage of $2.05.