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An animal shelter finds homes for cats and dogs. The shelter can handle up to80 animals each month. On average, it costs $10 to feed a cat for a month, and$20 to feed a dog for a month. The shelter has a monthly budget of $900 forfood. WRITE a system of inequalities to model this situation. GRAPH your system.

Respuesta :

Let cats be "x" and dogs be "y"

80 animals at max, so we can write:

[tex]x+y\leq80[/tex]

Shelter has monthly budget of 900 max.

Cat, c, needs 10 for a month, and

Dog, d, needs 20 for a month,

We can write:

[tex]10x+20y\leq900[/tex]

Now, we graph the equation:

x + y = 80

10x + 20 y = 900

The solution set is the area below (since less than or equal to) both the graphs.

The graph is shown below:

Ver imagen RafealA616148

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