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?
x/10 = 1/5.24
1/5.24 + 1/10 = 1/x
1/10 + 1/x = 1/5.24
1/5.24 + 1/x = 1/10
The rational equation that could determine the rate at which the coworker produces units is:
1/5.24 + 1/x = 1/10
The correct rational equation that could determine the rate at which the coworker produces units is:
1/5.24 + 1/x = 1/10
To determine the rate at which the coworker produces units, we can set up a rational equation. Let's go through the options to find the correct equation:
Option 1: x/10 = 1/5.24
This equation represents Tabitha's rate, but not the coworker's rate. We are looking for an equation that represents the rate at which the coworker produces units, so this option is incorrect.
Option 2: 1/5.24 + 1/10 = 1/x
This equation represents the combined rate of Tabitha and the coworker. Since we are looking for the coworker's rate alone, this equation is incorrect.
Option 3: 1/10 + 1/x = 1/5.24
This equation represents the combined rate of Tabitha and the coworker. Similarly to option 2, we are looking for the coworker's rate alone, so this equation is also incorrect.
Option 4: 1/5.24 + 1/x = 1/10
This equation correctly represents the combined rate of Tabitha and the coworker, with Tabitha working at a rate of 1 unit every 10 hours. By subtracting Tabitha's rate from the total rate, we can find the rate at which the coworker produces units. Thus, the correct equation is:
1/5.24 + 1/x = 1/10
Therefore, option 4 is the rational equation that could determine the rate at which the coworker produces units.