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: 115a

Answer

The completed table is as shown. The $\$13$ trillion total public debt is reached in year $2010$.

Work Step by Step

$$D=-0.071t^2+2.94t-10.0$$ Substituting $t=8$: $$D=-0.071(8)^2+2.94(8)-10.0=8.98$$ Similarly, the completed table is as shown. Notice that the $D$-value is between $t=10$ and $t=11$. Thus, the $\$13$ trillion total public debt is reached in $t=10$ which equivalent year is: $$Year=2000+10=2010$$
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