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.

Answer 1

Answer:

The constraints are

$0 < x\leq 20$  and $0 < y\leq 60$

Step-by-step explanation:

Let

x ----> represent the number of male birds

y ----> represent the number of female birds

we know that

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

so

$y=3x$ ----> equation A

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

so

$0 < x\leq 20$ ----> inequality B

we know that

The maximum number of male birds is 20

For x=20

substitute in the equation A

$y=3(20)=60$

so

The maximum number of female birds is 60

so

$0 < y\leq 60$ ----> inequality C

therefore

The constraints are

$0 < x\leq 20$  and $0 < y\leq 60$