(a) Find the volume of water that the tank holds in cubic feet. Use the table of conversion facts, as needed. 3 ft (b) The particular species Diane plans to raise requires at least 1.4 ft of water per fish. If there is any amount less than this, no matter how much less, the pet store will not accept Diane's fish. What is the largest whole number of fish that she can keep in the aquarium? fish (c) The pet store will pay $7.99 for each fish. If she fully populates her aquarium and sells all the fish, how much money will she collect?

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Chapter1: Combinatorial Analysis
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Diane has a new aquarium. The tank is in the shape
of a rectangular prism, 48 in long, 36 in wide, and
24 in deep. She plans to raise fish and sell them to a
local pet store. The pet store will inspect the
aquarium to make sure that the fish are being kept
in a healthful environment. One of the main concerns
is that each fish has enough water. Diane looks up
the amount of water needed for the species of fish
she plans to raise. She finds the answer, but it is
given in cubic feet.
Conversion facts for
(a) Find the volume of water that the tank holds in cubic feet. Use the table of
conversion facts, as needed.
length
3
ft
1 foot (ft) = 12 inches (in)
1 yard (yd) = 3 feet (ft)
1 yard (yd) = 36 inches (in)
3
(b) The particular species Diane plans to raise requires at least 1.4 ft of water
per fish. If there is any amount less than this, no matter how much less, the
pet store will not accept Diane's fish. What is the largest whole number of fish
that she can keep in the aquarium?
fish
(c) The pet store will pay $7.99 for each fish. If she fully populates her aquarium
and sells all the fish, how much money will she collect?
Transcribed Image Text:Diane has a new aquarium. The tank is in the shape of a rectangular prism, 48 in long, 36 in wide, and 24 in deep. She plans to raise fish and sell them to a local pet store. The pet store will inspect the aquarium to make sure that the fish are being kept in a healthful environment. One of the main concerns is that each fish has enough water. Diane looks up the amount of water needed for the species of fish she plans to raise. She finds the answer, but it is given in cubic feet. Conversion facts for (a) Find the volume of water that the tank holds in cubic feet. Use the table of conversion facts, as needed. length 3 ft 1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft) 1 yard (yd) = 36 inches (in) 3 (b) The particular species Diane plans to raise requires at least 1.4 ft of water per fish. If there is any amount less than this, no matter how much less, the pet store will not accept Diane's fish. What is the largest whole number of fish that she can keep in the aquarium? fish (c) The pet store will pay $7.99 for each fish. If she fully populates her aquarium and sells all the fish, how much money will she collect?
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