Question

Goby fish and shrimp naturally live close together. A pet store is selling bags of goby fish and shrimp to aquarium hobbyists. Each goby fish costs $15, and each shrimp costs $10. Each bag has an equal number of goby fish and shrimp.A.The pet store models the cost per bag with the expression x(15 1 10). Explain what the expression represents.B. What other expression can you use to model the cost? Explain what the expression represents.

Answer 1

Explanation:

a.Possible answer: The expression (15 1 10) shows the cost of one fish and the cost of one shrimp. The variable x represents the number of fish and the number of shrimp in each bag. The sum of the two costs is multiplied by the number of fish and shrimp in each bag.

b.Possible answer: 25x; The expression shows the total cost for a bag that contains x fish and shrimp

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Answer 2

a) Interpretation of the expression

b)
`C(x) = 25x`

Explanation:

We are given the following in the question:

Unit cost of goby fish = $15

Unit cost of shrimp = $10

There are equal number of goby fish and shrimp in a bag.

A) The cost per bag with the expression

`x(15+10)`

Interpretation:

The above expression represents the total cost of bag contain x number of goby fish and x number of shrimp where 15$ and 10$ are the unit cost of goby fish and shrimp respectively.

B) Expression for total cost

`C(x) = 25x`

where C(x) is the total cost and x is the number of goby fish or the number of shrimps that are equal.