Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Section 1.1 - Functions from the Numerical, Algebraic, and Graphical Viewpoints - Exercises - Page 54: 47a

Answer

$P(0)=-100,$ The airline had a loss of $\$ 100$ million in 2005. $P(4)=-400,$ The airline had a loss of $\$ 400$ million in 2009. $P(1.5)=400$ In a year that started on July 1st, 2006, , the airline had a profit of $\$ 400$ million.

Work Step by Step

The graph contains points ($t,\ P(t)$) Reading the graph we estimate that the points (0, $-100$) , ($4,-400$), and ($1.5,400$) are ON THE GRAPH. So, $P(0)=-100,$ $P(4)=-400,$ $P(1.5)=400$ t represents years after 2005, P(t) is profit or loss in millions od dollars (negative income = loss) $P(0)=-100,$ The airline had a loss of $\$ 100$ million in 2005. $P(4)=-400,$ The airline had a loss of $\$ 400$ million in 2009. $P(1.5)=400$ "1.5 years after 2005" is 1 full year + half a year after 2005, in other words, midway through the year 2007! (To express this in full completed years, midway through 2007 = the year of time that started on July 1st, 2006) Interpretation: Midway through the year 2007, the airline had a profit of $\$ 400$ million or In a year that started on July 1st, 2006, , the airline had a profit of $\$ 400$ million.
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