Question

a fountain in a pond has a pump that recirculates 75 gallons of water in 1/4 of an hour.express this rate as a unit rate in gallons per hour

Answer 1

To express the rate as a unit rate in gallons per hour, we can use the given information to set up a ratio and solve for x. The rate of the fountain's pump recirculating water is 5 gallons per hour.

Step-by-step explanation:

To express the rate as a unit rate in gallons per hour, we need to convert the given rate from gallons per 1/4 of an hour to gallons per hour.

Since 1/4 of an hour is equal to 15 minutes, and we have 75 gallons of water in 15 minutes, we can set up a ratio:

75 gallons / 15 minutes = x gallons / 1 hour

To find x, we can cross multiply and solve for x:

x = (75 gallons * 1 hour) / 15 minutes

x = 5 gallons/hour

Therefore, the rate of the fountain's pump recirculating water is 5 gallons per hour.

Answer 2

So if in 1/4 of an hour 75 gallons are pumped you would multiply 75 by four which will give you 300. This means 300 gallons are pumped in an hour