Question

Population data from three towns is displayed in the tables below. which town has growth that shows an exponential model?

Answer 1

The correct option is A.

Explanation:

From the given tables we can find he rate of change.

In Roseville town,

The change in population in first 10 years is

`108-72=36`

The change in population in second 10 years is

`162-108=54`

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

`120-78=42`

The change in population in next 10 years is

`162-120=42`

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

`160-107=53`

The change in population in next 10 years is

`213-160=53`

The rate of change of Travis town is constant, therefore the third table represents a linear function.