One week, Taylor earned dollar sign, 203, point, 4, 0$203.40 at her job when she worked for 99 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn dollar sign, 881, point, 4, 0, question mark$881.40?

1 answer

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.

  1. 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.

  2. 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.