Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Algebra 1

4.2.5 Practice

Algebra 14.2.5 Practice
Search for key terms or text.

Complete the following questions to practice the skills you have learned in this lesson.

1. The height of water in a bathtub, w , is a function of time, t . Let P represent this function. Height is measured in inches and time in minutes.

What does each equation mean in this situation?

  1. P ( 0 ) = 0
  1. The height of the water is 10 inches after 4 minutes.
  2. After 10 minutes, the height of the water is 4 inches.
  3. The bathtub starts out with no water.
  4. After 20 minutes, the bathtub is empty.
  1. P ( 4 ) = 10
  1. The height of the water is 10 inches after 4 minutes.
  2. After 10 minutes, the height of the water is 4 inches.
  3. The bathtub starts out with no water.
  4. After 20 minutes, the bathtub is empty.
  1. P ( 10 ) = 4
  1. The height of the water is 10 inches after 4 minutes.
  2. After 10 minutes, the height of the water is 4 inches.
  3. The bathtub starts out with no water.
  4. After 20 minutes, the bathtub is empty.
  1. P ( 20 ) = 0
  1. The height of the water is 10 inches after 4 minutes.
  2. After 10 minutes, the height of the water is 4 inches.
  3. The bathtub starts out with no water.
  4. After 20 minutes, the bathtub is empty.
  1. Function C takes time for its input and gives a student’s Monday class for its output.

    Use function notation to represent: A student has English at 10:00.
  1. C ( 10 : 00 ) = M o n d a y
  2. C ( M o n d a y ) = E n g l i s h   a t   10 : 00
  3. C ( 10 : 00 ) = E n g l i s h
  4. C ( E n g l i s h ) = 10 : 00
  1. Function f gives the distance of a dog from a post, in feet, as a function of time, in seconds, since its owner left.
  1. Find the value of f ( 20 ) .
  1. 3.5
  2. 3.4
  3. 3.3
  4. 3.2
  5. 3.1
  6. 3.0
  1. Find the value of f ( 140 ) .
  1. 3.5
  2. 3.4
  3. 3.3
  4. 3.2
  5. 3.1
  6. 3
  1. Looking at the graph below, what does the point ( 1980 , 83 ) mean?
GRAPH TITLED "WORLD POPULATION INCREASE" WITH X-AXIS LABEL OF YEAR AND Y-AXIS LABEL OF MILLIONS OF PEOPLE
  1. There were 83 million more people in 1980 than 1979.
  2. In 1980, the world population increased by 83 million people.
  1. Function R  gives the number of inches of rain after h  hours. What does the statement R ( 6 ) = 5 mean?
  1. After 6 hours, there was 5 inches of rain.
  2. After 5 hours, there was 6 inches of rain.
  3. At 6 hours, the rate is 5 inches per hour of rain.
  1. Function R gives the number of inches, T , of rain after h , hours. Choose which function notation represents this situation.
  1. T = R ( h )
  2. h = T ( R )
  3. h = R ( T )
  4. R = T ( h )
  1. Use function notation to represent that the number of miles, m , a car travels as a function of time, t .
  1. t = f ( m )
  2. t = m ( f )
  3. m = f ( t )
  4. f = m ( t )
PreviousNext
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

Citation information

© May 21, 2025 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.