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Assignment: Direct Variation
Investigation

In
this investigation you are going to find the constant flow rate of different
faucets around your house. You will use this rate to determine how quickly your
faucets can fill up other containers.
Part 1:

Identify
two faucets in your house to use for this investigation such as the kitchen
sink, bathroom sink, bathtub, or garden hose.
Faucet 1 Description:
________________________

Faucet 2 Description:
________________________

Part 2:
Determine
the time it takes each faucet to fill to a certain volume.
For
each faucet:

Turn on your faucet and allow the
water to run.
Once the water is flowing at a constant
speed, place an empty 1-gallon milk jug under it.
With a stop watch, time how long
it takes for the gallon jug to fill up. This time is the number of seconds
it takes for a gallon of water to flow from your faucet.

Number of seconds to
fill a 1-gallon container from faucet 1 ___________

Number of seconds to
fill a 1-gallon container from faucet 2 ___________

Part 3:
Write
the unit rate of each faucet in gallons per second and in seconds per gallon.

Faucet 1 rate: r =
_____________ seconds/gallon

Faucet 2 rate: r =
_____________ seconds/gallon

Part 4:
Now
use the rates and/or equations to fill in the table with how much time it will
take your faucet to fill the following containers:

Container to be
filled

Time for Faucet 1

15-gallon
kitchen sink

32-gallon
garbage can

40-gallon
bath tub

2500-gallon
swimming pool

Container to be filled

Time for Faucet 2

15-gallon
kitchen sink

32-gallon
garbage can

40-gallon
bath tub

2500-gallon
swimming pool

Part 5:
Write
an equation for each faucet representing the relationship between x, the gallons to be filled in the
container and y, the time it takes to
fill the container.
Faucet 1: y = ____ x

Faucet 2: y = ____ x

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