Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 4 - An Introduction to Functions - Mid-Chapter Quiz - Page 252: 5

Answer

The independent variable is number of tickets. The dependent variable is number of biscuits. The graph is attached below. The equation for the table is y=23-3x The relationship is that for every trick performed, 3 biscuits are used and so the number of biscuits decreases by 3. It can be deduced that before any tricks were performed, there were 23 biscuits to start with.
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Work Step by Step

The equation for the table is y=23-3x. The slope is -3 because for every trick performed i.e. an increase in independent variable, 3 biscuits are used and so the number of biscuits decreases by 3. Thus the slope is -3. Also, the y-int is 23 because when 1 trick is performed, there are 20 biscuits. So if 0 tricks are performed, there must be 23 biscuits.
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