A zoo is building a new large-cat exhibit. Part of the space will be used for lions and part for leopards. The exhibit will house eight large cats in all. Expenses for a lion will be about $8000 per year, and expenses for a leopard will be about $6000 per year. Write an equation that can be used to find y, the yearly expenses for the eight cats in the exhibit when z of the cats are loins

Question

Mathematics

Cullen Larson

28 September, 04:42

A zoo is building a new large-cat exhibit. Part of the space will be used for lions and part for leopards. The exhibit will house eight large cats in all. Expenses for a lion will be about $8000 per year, and expenses for a leopard will be about $6000 per year. Write an equation that can be used to find y, the yearly expenses for the eight cats in the exhibit when z of the cats are loins

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Taylor Villarreal · Answer 1

Total cats: 8

Total expense: y

Expense per lion:$8,000

Total lions: z

Expense per leopard: $6,000

Total leopards: 8 - z

Therefore, the equation becomes:

total expense = number of lions * expense per lion + number of leopards * expense per leopard

y = 8000z + 6000 (8 - z)

y = 2000z + 48000