Question

Malia works at a movie theater and is paid hourly. One month, she earned $388.80. The total amount she earns can be found using the equation y = 8.1x, where x is the number of hours she works and y is the total amount she earns in dollars. Bill works at a golf course and is also paid hourly. The table shows the total amount he is paid for different numbers of hours worked. The number of hours:18, 28, 35. Total number earned:144.90, 225.40, 281.75. How do the units compare?

Answer 1

Answer:

Malia's unit rate is greater than Bill's by $0.05.

Step-by-step explanation:

Consider the provided information.

The total amount she earns can be found using the equation y = 8.1x, where x is the number of hours she works and y is the total amount she earns in dollars.

The unit rate, when written as a fraction, has a denominator equal to one.

The unit price of Malia is $8.1

For Bill works:

Number of hours   Total amount earned

             18                          $144.90

             28                         $225.40

             35                         $281.75

Unit price would be:

$\dfrac{144.90}{18}=\dfrac{y}{x}\\\\8.05=\dfrac{y}{x}\\\\y=8.05x$

Hence, unit price of Bill is $8.05

Malia's unit rate is 8.1 whereas Bill's unit rate is 8.05,

Thus, Malia's unit rate is greater than Bill's by 8.10-8.05=0.05.

Answer 2

Malia : y = 8.1x.....this tells me she makes 8.10 per hr worked

Bill : if he earned 144.90 for working 18 hrs.....144.90/18 = 8.05 per hr worked.

so Malia makes 5 cents more per hr worked.

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