Question

You have an ant farm with ants. The population of ants in your farm will double every 3 months. Is the relation a function? If so, is it a linear function or a nonlinear function? Explain.

Answer 1

The relation is a nonlinear function where the population of ants doubles every 3 months.

Step-by-step explanation:

Yes, the relation represents a function. A function is a relation where each input has exactly one output. In this case, the input is the time in months and the output is the population of ants. Since each time value corresponds to a unique population value, it is a function.

The relation is a nonlinear function because the population of ants is doubling every 3 months. In a linear function, the rate of change would remain constant, but in this case, the rate of change is increasing as time progresses. This is evident from the fact that the population doubles every 3 months.