Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Mid-Chapter Check Point - Page 71: 42

Answer

$ a.\quad$ model 1 $ b.\quad$ underestimates by ${{\$}} 593$

Work Step by Step

$ a.\quad$ In 2001, x is 1 (1 year after 2000). Model 1: $D=1188(1)+16,218=17,406$ Model 2: $D=46(1)+541(1)+17650={{\$}} 18,237$ The graph reads ${{\$}} 17,562$, so model 1 gives a closer (better) estimate for that year. $ b.\quad$ In 2103, x is 3 (3 years after 2000). Model 2 estimates: $D= 46(13^{2})+541(13)+17,650={{\$}} 32,457,$ which is less than the figure given in the chart, ${{\$}} 33,050$. Subtracting $33,050-32,457=593$
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