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Math

QuestionFind which two employees have the same hourly rate based on their hours and earnings. Keena's earnings are missing.

Studdy Solution

STEP 1

Assumptions1. The earnings of each employee are directly proportional to the number of hours they worked. . The hourly rate for each employee can be calculated by dividing their total earnings by the number of hours they worked.
3. Two employees have the same hourly rate if their calculated hourly rates are equal.

STEP 2

First, we need to calculate the hourly rate for each employee. The formula to calculate the hourly rate isHourly rate=arningsHoursHourly\, rate = \frac{arnings}{Hours}

STEP 3

Now, plug in the given values for Pedro's earnings and hours to calculate his hourly rate.
Hourly ratePedro=$213.5040Hourly\, rate_{Pedro} = \frac{\$213.50}{40}

STEP 4

Calculate Pedro's hourly rate.
Hourly ratePedro=$213.5040=$.337Hourly\, rate_{Pedro} = \frac{\$213.50}{40} = \$.337

STEP 5

Next, calculate Elise's hourly rate using the same formula.
Hourly rateElise=$378.0030.5Hourly\, rate_{Elise} = \frac{\$378.00}{30.5}

STEP 6

Calculate Elise's hourly rate.
Hourly rateElise=$378.0030.5=$12.3934Hourly\, rate_{Elise} = \frac{\$378.00}{30.5} = \$12.3934

STEP 7

Next, calculate Graham's hourly rate using the same formula.
Hourly rateGraham=$262.5042Hourly\, rate_{Graham} = \frac{\$262.50}{42}

STEP 8

Calculate Graham's hourly rate.
Hourly rateGraham=$262.5042=$6.25Hourly\, rate_{Graham} = \frac{\$262.50}{42} = \$6.25

STEP 9

Next, calculate Bella's hourly rate using the same formula.
Hourly rateBella=$202.5025Hourly\, rate_{Bella} = \frac{\$202.50}{25}

STEP 10

Calculate Bella's hourly rate.
Hourly rateBella=$202.5025=$8.10Hourly\, rate_{Bella} = \frac{\$202.50}{25} = \$8.10

STEP 11

Now, compare the calculated hourly rates of each employee to determine which two employees have the same hourly rate.
From the calculated hourly rates, we can see that no two employees have the same hourly rate. Therefore, none of the employees earned the same hourly rate.

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