Answer:
5 gallons per minute
Step-by-step explanation:
A bathtub fills at a constant rate.
The amount of water in the tub increases by [tex]\dfrac{1}{2}[/tex] gallon every [tex]\dfrac{1}{10}[/tex] minute.
Unit rate: The amount of gallons fill bathtub in unit minute.
We are given rate is constant.
Therefore,
[tex]\text{Unit rate} = \dfrac{\text{number of gallons}}{\text{Number of minute}}[/tex]
[tex]\text{Unit rate} = \dfrac{\frac{1}{2}}{\frac{1}{10}}[/tex]
[tex]\text{Unit rate} = 5\text{ gallons per minute}[/tex]
Hence, The unit rate is 5 gallons per minute.
