Pregunta
A full bathtub drains at a constant rate. The amount of water in the bathtub
changes by
gallons in
minute. What is the rate, in gallons per minuti
at which the amount of water in the bathtub changes? Show your work.
changes by
at which the amount of water in the bathtub changes? Show your work.
Ask by Lewis Ingram. in the United States
Jan 31,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The rate at which the amount of water in the bathtub changes is
gallons per minute.
Solución
To find the rate at which the amount of water in the bathtub changes, we need to determine the change in the amount of water per minute.
Given:
- The amount of water in the bathtub changes by
gallons in minute.
Let’s denote the rate of change of water in the bathtub as
gallons per minute.
We can set up the equation based on the given information:
Now, we can solve for
to find the rate at which the amount of water in the bathtub changes.
Solve the equation by following steps:
Solve the equation by following steps:
- step0: Solve for
:
- step1: Convert the expressions:
- step2: Swap the sides:
- step3: Multiply by the reciprocal:
- step4: Multiply:
The rate at which the amount of water in the bathtub changes isgallons per minute.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
To find the rate at which the amount of water in the bathtub changes, we can set up a simple calculation. The change in the amount of water is
gallons, which can be converted into an improper fraction:
Now, we need to find out how much water drains per minute. The change occurs over
minute, so we divide the total change by the time:
To divide by a fraction, you multiply by its reciprocal:
Now, we perform the multiplication:
Thus, the rate at which the amount of water in the bathtub changes is
gallons per minute.
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