Question

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.

Answer 1

The correct option is D.$0< x\leq 20$ and $0< y\leq 60$.

Given,  $x$ represent the number of male birds and  $y$ 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,

$y=3x$........(1)

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

So, we can write the inequality for $x$ as,

$0< x\leq 20$......(2)

Since The maximum number of male birds is 20, so for $x=20$

y will be,

$y=3\times 20$

$y=60$

Hence, The maximum number of female birds is 60.

So, we can write the inequality for $y$ as,

$0< y\leq 60$

Hence the required constraints are $0< x\leq 20$ and $0< y\leq 60$.

For more details on Inequality follow the link:

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