Answer:
C=2N
Step-by-step explanation:
Let C be the number of chickens and N be the number of nests.
It is given that The number of chickens, C, in a chicken coop is proportional to the number of nests, N, in the coop.
[tex]C\propto N[/tex]
[tex]C=kN[/tex] ..... (1)
where, k is he constant of proportionality.
It is given that each nest is used by the same number of chickens, 2, It means C=2 at N=1.
Substitute C=2 and N=1 in equation (1) to find the value of k.
[tex]2=k(1)[/tex]
[tex]2=k[/tex]
The value of k is 2. Substitute k=2 in equation (1).
[tex]C=2N[/tex]
Therefore, the required equation is C=2N.