Question

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

Answer 1

Answer:

Option C is correct.

Step-by-step explanation:

We have been given the three different datas

We will check for their growth rate.

$\frac{a_2}{a_1}$

In case of Roseville.

$\frac{108}{72}=1.5$

In case of Smithton.

$\frac{120}{78}=1.53$

In case of Travis.

$\frac{160}{107}=1.49$

So, the rate is high in case of Travis

Therefore, option C is correct.

Answer 2

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

$108-72=36$

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.