Select the correct statement.

A.
Nonlinear functions have a constant rate of change, while linear functions do not have a constant rate of change.
B.
Both linear and nonlinear functions do not have a constant rate of change.
C.
Linear functions have a constant rate of change, while nonlinear functions do not have a constant rate of change.
D.
Both linear and nonlinear functions have a constant rate of change.

3 answers

C.
Linear functions have a constant rate of change, while nonlinear functions do not have a constant rate of change.
Which of the following is a nonlinear function?
A.
Irene is reading a book. She reads 3 pages per minute.
B.
Hally lives in a rental apartment. The rent increases by $100 every 15 months.
C.
Daniel is studying a certain type of bacterial cell that doubles every hour.
D.
Cheryl uses 6 apples for each apple pie she bakes.
C.
Daniel is studying a certain type of bacterial cell that doubles every hour.

This is a nonlinear function because the number of bacterial cells is growing exponentially, not at a constant rate.