Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - Cumulative Test Prep - Multiple Choice: 16


G: the weight of a bag of pennies, given the number of pennies

Work Step by Step

This is the only relation that can be matched with a linear function because each penny has a constant weight and as you add each penny in the bag, the weight of the bag will change by a constant amount. Whereas, in the other examples, the given variables like height, length of a day, and test grade do not increase or decrease by a set amount. Lets look at example F. A person does not increase its height by a constant amount each day. Many factors come into play like nutrition, exercise and etc. For example H, the length of a day does not change by a constant amount as days progress. Also in example I, your test grade does not change by a constant amount as you increase your studying time. It is not like if you study 1.5 minutes more, you will get a higher test grade. Many factors play a role in deciding each scenarios ranges so therefore we cannot represent them with a linear function.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.