A water truck is filling a swimming pool. The equation that represents this
relationship is y = 19.75x where y is the number of gallons of water in the pool and
x is the number of minutes the truck has been filling the pool.
Choose True or False for each statement.
a.
The unit rate for this relationship is 1 gallon per 19.75 minutes.
True
True
False
False
b.
This is a proportional relationship because the graph of the
equation is a straight line through the origin.
True
False
c. The water in the swimming pool increases by about 100 gallons
every 5 minutes.
True
False
d.
A table of related x-and y-values for this relationship would
show equivalent ratios.
True
False
e. The point (8, 150) could be a point on this graph.

a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.

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b. True. A graph of a proportional relationship is a straight line through the origin.

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c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.

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d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.

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e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.