Question

An animal shelter has enough pens for x small dogs and y large dogs, and can hold up to 36 dogs at a time. It costs the shelter $12 a week to keep a large dog and $7 a week to keep a small dog. The shelter must keep its weekly costs under $350. Which system of inequalities can be used to represent this situation? x + y < 36 78 + 12y < 350 O I ty > 36 7r + 12y > 350 x + y > 36 7x + 12y > 350 x + y < 36 7x + 12y < 350

Answer 1

x: number of small dogs

y: number of large dogs

The total of dogs is x + y

Can hold up to 36 dogs at a time. The shelter can have less than or equal to 36 dogs:

$x+y\leq36$

$12/week: large dog

$7/week: small dog

Weekly cost under $350. The sum of 12x