Question

A standard shower drain

can drain water at the rate of 480 gallons
in hour. Create three different rates, using
the same or different units, that are all
equivalent to this rate. Be precise in the
units you choose. Then find the unit rate,
gallons per minute.

Answer 1

see the explanation

Explanation:

The given rate is

`480\ (gal)/(h)`

Create three different rates, that are all equivalent to this rate

First rate

1,440 gallons in 3 hours

Find the units rate

Divide the total volume by the total time

`(1,440)/(3)=480\ (gal)/(h)`

Second rate

960 gallons in 120 minutes

Find the units rate

Divide the total volume by the total time

Convert minutes to hours

`120 \ min=2\ h`

`(960)/(2)=480\ (gal)/(h)`

Third rate

720 gallons in 1.5 hours

Find the units rate

Divide the total volume by the total time

`(720)/(1.5)=480\ (gal)/(h)`

Convert gal/h to gal/min

Remember that

`1\ h=60\ min`

`480\ (gal)/(h)=480/60=8\ (gal)/(min)`