College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.7 - Page 197: 118

Answer

a. years after $2020$ b. years after $2024$ c. years after 2024. d. years after 2020.

Work Step by Step

a. Use the formula for the interfaith marriage $I=\frac{1}{4}x+26$, for $I\gt 34$, we have $\frac{1}{4}x+26\gt 34$ which gives $\frac{1}{4}x\gt 8$ and $x\gt 32$. Thus the years should be after $1988+32=2020$ b. Use the formula $N=\frac{1}{4}x+6$, for $N\gt 15$, we have $\frac{1}{4}x+6\gt 15$ which gives $\frac{1}{4}x\gt 9$ and $x\gt 36$. Thus the years should be after $1988+36=2024$ c. Find the intersection of the above results, we get $x\gt 36$ which means years after 2024. d. Find the union of the results in (a) and (b), we get $x\gt 32$ which means years after 2020.
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.