Question

A town's recreation department is updating its parks. The parks must have slides and swings.

Let x be the number of swing sets and y be the number of slides.

The number of new slides must be more than three times the number of new swing sets. Each swing set costs $275 and each slide costs $168. They can spend no more than $1,250.

Select all of the constraints for this situation.



x>3y

275x+168y≤1250

x>0

y>3x

y>0

275x+168y<1250

Answer 1

The correct answers are

y>0

275x + 168y ≤1250

x>0

y>3x

Answer 2

Number of swings = x
Number of slides = y

First condition:
number of slides must be more than 3 times number of swings
This means that: y > 3x

Second condition:
each swing cost 275$ and each slide costs 168$. They cannot spend more than 1250$. This means that the sum of costs of swings and slides should not exceed 1250$ (should be less than or equal to 1250$)
This means that: 275x+168y ≤ 1250

Based on this:
The correct choices are: b and d