College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 2 - Test - Page 282: 23

Answer

$6.75$ dollars

Work Step by Step

$y=\lfloor x \rfloor$ is a greatest integer under $x$. If $x$ itself is integer then $\lfloor x \rfloor=x$. The given value of $x$ is $7.5$. So, $\lfloor x \rfloor=7$. The given model: $$f(x)=0.75\lfloor x \rfloor+1.50$$ $$f(7.5)=0.75\lfloor 7.5 \rfloor+1.50=0.75\cdot 7+1.50=5.25+1.50=6.75$$ The cost is $6.75$ dollars.
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