### Home > INT3 > Chapter 10 > Lesson 10.3.2 > Problem10-172

10-172.

Lola is riding her bicycle when a piece of gum gets stuck to the wheel. A graph of the situation is shown at right.

1. What is the diameter of Lola’s bicycle wheel?

The diameter is double the amplitude of the graph.

2. How fast is Lola’s bicycle wheel spinning (in revolutions per second)?

How long does it take to complete one full cycle of the graph?

3. Write an equation to model this situation.

The parent graph is $y = a \text{cos}\left(bx\right)$

There is a vertical shift.

The graph is flipped over.