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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 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 x of the cats are lions.

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Because xx represents the number of lions, then 8x8-x represents the number of leopards. We let yy represent the yearly expenses for the eight cats, in dollars.

The total yearly expenses is given by:

total yearly expense=yearly expenses for lions+yearly expenses for leopards\text{total yearly expense}=\text{yearly expenses for lions}+\text{yearly expenses for leopards}

Using the variables and the given rates for the cats,

y=8000x+6000(8x)\color{#c34632}{y=8000x+6000(8-x)}

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