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.

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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