Answer
$\frac{\sqrt {1000-5p}}{10}+400$
Work Step by Step
$p=-\frac{1}{5}x+200\\p+\frac{1}{5}x=200\\\frac{1}{5}x=200-p\\x=1000-5p$
Hence $C(x)=\frac{\sqrt x}{10}+400=\frac{\sqrt {1000-5p}}{10}+400$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.1 Composite Functions - 5.1 Assess Your Understanding - Page 256: 64
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