Tabitha works at a rate of 1 unit every 10 hours. Working together with a coworker, it only takes 5.24 hours to make 1 unit. Which of the following models is a rational equation that could determine the rate at which the coworker produces units?(1 point)
Responses
110+1x=15.24
Start Fraction 1 over 10 End Fraction plus Start Fraction 1 over x End Fraction equals Start Fraction 1 over 5.24 End Fraction
15.24+1x=110
Start Fraction 1 over 5.24 End Fraction plus Start Fraction 1 over x End Fraction equals Start Fraction 1 over 10 End Fraction
15.24+110=1x
Start Fraction 1 over 5.24 End Fraction plus Start Fraction 1 over 10 End Fraction equals Start Fraction 1 over x End Fraction
x10=15.24
The correct model is "Start Fraction 1 over 10 End Fraction plus Start Fraction 1 over x End Fraction equals Start Fraction 1 over 5.24 End Fraction".
The correct rational equation that could determine the rate at which the coworker produces units is:
Start Fraction 1 over 10 End Fraction plus Start Fraction 1 over x End Fraction equals Start Fraction 1 over 5.24 End Fraction.
The rational equation that could determine the rate at which the coworker produces units is:
Start Fraction 1 over 10 End Fraction plus Start Fraction 1 over x End Fraction equals Start Fraction 1 over 5.24 End Fraction.
To arrive at this equation, you need to consider the rate at which Tabitha and her coworker work together.
We know that Tabitha works at a rate of 1 unit every 10 hours. This can be expressed as Start Fraction 1 over 10 End Fraction.
Let's assume the rate at which the coworker produces units is x units per hour. This can be expressed as Start Fraction 1 over x End Fraction.
When Tabitha and her coworker work together, it takes 5.24 hours to make 1 unit. This can be expressed as Start Fraction 1 over 5.24 End Fraction.
To find the equation that represents the combined rate, we add the rates of Tabitha and her coworker. So, the equation becomes:
Start Fraction 1 over 10 End Fraction plus Start Fraction 1 over x End Fraction equals Start Fraction 1 over 5.24 End Fraction.
Therefore, the rational equation that represents the rate at which the coworker produces units is:
Start Fraction 1 over 10 End Fraction plus Start Fraction 1 over x End Fraction equals Start Fraction 1 over 5.24 End Fraction.