Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.6 Solve Rational Equations - 8.6 Exercises - Problem Solving - Page 594: 35

Answer

See below

Work Step by Step

Given: $n=\frac{635t^2-7350t+27200}{t^2-11.5t+39.4}$ Setting it equal to 720, we have: $\frac{635t^2-7350t+27200}{t^2-11.5t+39.4}=720\\635t^2-7350t+27200=720t^2-8280t+28368\\85t^2-930t+1168=0$ Solve the equation using the quadratic formula: $t=\frac{930\pm\sqrt (-930)^2-4\times85\times1168}{2\times85}\approx\frac{930\pm 683.94}{170}$ Thus, $t_1=\frac{930-683.94}{170}\approx1.45\\t_2=\frac{930+683.94}{170}\approx9.49$ Since the condition is $0\leq t\leq 9$, the only solution here is $t=1.45$. $t$ is the number of years after $1994$; hence in the year 1995 the total number of CDs shipped is about 720 million.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.