Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.4 - Quadratic Equations and Applications - 1.4 Exercises - Page 112: 116c

Answer

The ticket price at movie theaters in $2025$ is about $\$9.68$. Since year $2025$ is far from year $2014$, the prediction may not be reasonable. This value is a little higher to the ticket price where I live.

Work Step by Step

$$t=2025-2000=25$$ $$P=-0.0038t^2+0.272t+5.25$$ Substituting $t=25$ into the equation: $$P=-0.0038(25)^2+0.272(25)+5.25=9.68$$ Thus, the ticket price at movie theaters in $2025$ is about $\$9.68$. Since year $2025$ is far from year $2014$, the prediction may not be reasonable. This value is a little higher to the ticket price where I live.
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