College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.5 - Solving Inequalities - 1.5 Assess Your Understanding - Page 128: 109

Answer

See below.

Work Step by Step

Let $x$ be the selling price, then $900000\leq x\leq1100000$. Then the commision ($y$) is: $45000+(x-900000)\cdot0.25$. Since $900000\leq x\leq1100000$, the commision is: $45000+(900000-900000)\cdot0.25\leq y\leq45000+(1100000-900000)\cdot0.25\\45000+0\cdot0.25\leq y\leq45000+200000\cdot0.25\\45000\leq y\leq95000$ The percentage varies between $\frac{45000}{900000}=5\%$ and $\frac{95000}{1100000}=8.6\%$
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