Question

The number of chickens, C, in a chicken coop is proportional to the number of nests, N, in the coop. If each nest is used by the same number of chickens, 2, which equation could be used to find the total number of chickens in the coop?

Answer 1

C=2N

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.

`C\propto N`

`C=kN` ..... (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.

`2=k(1)`

`2=k`

The value of k is 2. Substitute k=2 in equation (1).

`C=2N`

Therefore, the required equation is C=2N.