Atown'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.

a. 275x+168y< 1250
b. x> 0
c.275x+168y= 1250
d. y> 0
e. y> 3x
f. x> 3y

The correct answers are:

A. 275x+168y<1250 ; B. x>0 ; D. y>0 ; E. y>3x

Explanation:

We have defined x as the number of swings and y as the number of slides.  The park must have some of each; therefore x > 0 and y > 0.

The number of slides must be more than 3 times greater than the number of swings; this gives us y > 3x.

The price of swings is 275; this gives us the expression 275x for the cost of the swings.

The price of slides is 168; this gives us the expression 168y for the cost of the slides.

Together this gives us 275x+168y.  We know that no more than 1250 can be spent; this gives us= 275x+168y < 1250.

275x+168y≤1250

y>3x

y>0

x>0

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step-by-step explanation: