A town has a population of 200 people when a company opens a large mine.

Due to the opening of the mine, the town’s population is expected to increase by 50% each year.

Let be the population of the town years after the mine opened.

The expected growth in the town’s population can be modelled by

The following information relates to Parts 1 and 2.

The number of waterfowl living in a wetlands area has decreased by 4% each year since 2003.

At the start of 2003 the number of waterfowl was 680.
 

Part 1

If this percentage decrease continues at the same rate, the number of waterfowl in the wetlands area at the start of 2008 will be closest to

A.   532

B.   544

C.   554

D.   571

E.   578
 

Part 2

 is the number of waterfowl at the start of the th year.

Let 

The rule for a difference equation that can be used to model the number of waterfowl in the wetlands area over time is

A.   

B.    

C.    

D.    

E.   

In 2008, there are 800 bats living in a park.

After 2008, the number of bats living in the park is expected to increase by 15% per year.

Let represent the number of bats living in the park years after 2008.

A difference equation that can be used to determine the number of bats living in the park  years after 2008 is

Consider the following sequence.

Which of the following difference equations could generate this sequence?

A poultry farmer aims to increase the weight of a turkey by 10% each month.

The turkey’s weight, , in kilograms, after  months, would be modelled by the rule

A. 

B.  

C. 

D. 

E.