Question

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 have eight large cats in all. Expenses for a lion will be about $8,000/year and expenses for a leopard will be around$6,000/yr.
Graph the equations with including a title for the graph and for each axis. Don’t forget to write the units for the axis.

Answer 1

The equations for the expenses for maintaining 4 lions and 4 leopards in the new large-cat exhibit are as follows:

                             Lions                  Leopard

Equations       4x = 32,000         4y = 24,000

What is an equation?

An equation is a mathematical statement that shows the values of two mathematical expressions are equal.

An equation is made up of two mathematical expressions connected by an equal sign.

Data and Calculations:

Annual expenses for lion per unit, x = $8,000

Annual expenses for leopard per unit, y = $6,000

Total number of larget-cats required = 8

Let the cost of maintaining 4 lions = 4x

Let the cost of maintaining 4 leopards = 4y

Total cost for 4 lions = $32,000 (8,000 x 4)

Total cost for 4 leopards = $24,000 (6,000 x 4)

Total cost for eight large cats per year = $56,000 ($32,000 + $24,000)

Equation for lions, 4x = 32,000

Equation for leopards, 4y = 24,000

The total costs for maintaining eight large cats in all will be $56,000 per year.

Thus, the equations for the expenses for maintaining 4 lions and 4 leopards in the new large-cat exhibit are 4x = 32,000 and 4y = 24,000, respectively.

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