OPEN UP HS MATH
| MATH III
NAME
DATE
PERIOD
Review Module 6: Writing Equations
© 2021 Open Up Resources. All rights reserved.
Use the Ferris wheel information to answer problems 1–7.
Imagine a Ferris wheel for which the height of a rider (in feet) above the ground, after riding on the
Ferris wheel for 𝑡 seconds since passing the farthest right position on the wheel, is given by ℎ(𝑡) =
45sin(30𝑡) + 60.
1.
Height of the center of the wheel:
2.
Period of rotation of the wheel:
3.
Radius of the wheel:
4.
Angular speed of the wheel:
5.
Direction of motion: clockwise or counterclockwise?
6.
Sketch a graph of this function:
7. Write the equation of the horizontal position of the shadow of the rider when the sun is
directly overhead and the shadow’s position is 0 when the rider is directly above or below the
center of the wheel.
Quick Quiz 1: Lessons 1–5
Download for free at openup.org.
1
OPEN UP HS MATH
| MATH III
NAME
DATE
PERIOD
8. Write the equation of the graph:
9. Write the equation of the graph:
10. Graph 𝑓(𝜃) = 30sin(40𝜃) − 10 (Graph at least 1 full period. Label your axes.)
Quick Quiz 1: Lessons 1–5
Download for free at openup.org.
2