Answer:
The correct option is A.
Step-by-step explanation:
From the given tables we can find he rate of change.
In Roseville town,
The change in population in first 10 years is
[tex]108-72=36[/tex]
The change in population in second 10 years is
[tex]162-108=54[/tex]
The rate of change of Roseville is not constant, therefore the first function represents a exponential function.
In Simthton town,
The change in population in first 10 years is
[tex]120-78=42[/tex]
The change in population in next 10 years is
[tex]162-120=42[/tex]
The rate of change of Simthton town is constant, therefore the second table represents a linear function.
In Travis town,
The change in population in first 10 years is
[tex]160-107=53[/tex]
The change in population in next 10 years is
[tex]213-160=53[/tex]
The rate of change of Travis town is constant, therefore the third table represents a linear function.
