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PLEASE HELP ASAP!! CORRECT ANSWER ONLY PLEASE!!


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.

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE A towns recreation department is updating its parks The parks must have slides and swings Let x be the number of swi class=

Respuesta :

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

1) The number of new slides(y) must be more than three times the number of new swing (x) sets.

y > 3x

2)  Each swing set costs $275 and each slide costs $168.

All swings cost 275x, and all slides 168y.

Altogether, 275x + 168y.

They can spend no more than $1,250.

So, 275x + 168y ≤ 1250.

So we have

y > 3x,

275x + 168y ≤ 1250,

y>0,

x>0.

Modelling the situation, the constraints are:

[tex]275x + 168y \leq 1250[/tex]

[tex]y > 0[/tex]

[tex]y > 3x[/tex]

[tex]x > 0[/tex]

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We have that:

  • x is the number of swing sets.
  • y is the number of slides.

The parks must have slides and swings:

From this, there are two constraints, which are: [tex]x > 0[/tex] and [tex]y > 0[/tex]

The number of new slides must be more than three times the number of new swing sets.

Thus [tex]y > 3x[/tex]

Each swing set costs $275 and each slide costs $168. They can spend no more than $1,250.

Thus:

[tex]275x + 168y \leq 1250[/tex]

A similar problem is given at https://brainly.com/question/23535586