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A zookeeper is monitoring the population of birds. The flock needs to have exactly three times more females than males to thrive, and the zoo only has room for a maximum of 20 male birds. Let x represent the number of male birds and y represent the number of female birds. Write the constraints to represent a thriving population of birds at the zoo. X > 0 and y > 0 0 < x ≤ 20 and y > 60 x > 0 and y < 20 0 < x ≤ 20 and 0 < y ≤ 60.

Respuesta :

deepakrai138

The correct option is D.[tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].

Given,  [tex]x[/tex] represent the number of male birds and  [tex]y[/tex] represent the number of female birds.

The flock needs to have exactly three times more females than males to thrive.  

So, in equation form we have,

[tex]y=3x[/tex]........(1)

Since, The zoo only has room for a maximum of 20 male birds.

So, we can write the inequality for [tex]x[/tex] as,

[tex]0< x\leq 20[/tex]......(2)

Since The maximum number of male birds is 20, so for [tex]x=20[/tex]

y will be,

[tex]y=3\times 20\\[/tex]

[tex]y=60[/tex]

Hence, The maximum number of female birds is 60.

So, we can write the inequality for [tex]y[/tex] as,

[tex]0< y\leq 60[/tex]

Hence the required constraints are [tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].

For more details on Inequality follow the link:

https://brainly.com/question/19491153

 

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