Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.8 - Applications of Functions - Problem Set 11.8: 20

Answer

The Math is below, and the graph is attached.

Work Step by Step

We plug in the given values of t into the equation to find: A) $V(5) = 2500 + 200(5) = 3500$ B) $V(8) = 2500 + 200(8) = 4100$ C) The graph is attached. D) In order to estimate, first draw a vertical line at t=10. Then, estimate the value of p at the intersection. This value is 4500. After all: $V(10) = 2500 + 200(10) = 4500 $ E) In order to this, draw a horizontal line at V=3750. Then, find the value of t when the line intersects the line graphed in part c. F) We find the actual value of the estimate in E: $ 3750 = 2500 + 200t \\ 1250 = 200t \\ t = 6.25$
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