function, linear function, nonlinear function
TEKS 8(1)(D), 8(5)(G)
Example Analyzing Nonlinear Relationships
Suppose there are 20 rabbits on an island and that the rabbit population can triple every six months.
a. Make a table of values to find how many rabbits there would be after 2 years.
b. Does this relationship represent a nonlinear function? Explain.
c. Using the table, when would you expect the rabbit population to reach 1,000,000 rabbits?
a. After two years, there would be 1,620 rabbits.
b. Find the rate of change. Since the rate of change is not constant, this relationship represents a nonlinear function.