Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises - Page 22: 68

Answer

Two everyday examples of a step function (or staircase function) can be: *A sales agent's salary as a function of goods sold and bonuses received. *A builder's wage as a function of time spent for doing some particular job and compensation.

Work Step by Step

*Sales agents usually have some fixed salary plus bonuses according to the price of goods sold. For instance, a sales agent's salary might be $\$2000$. If he/she will sell $\$5000$ goods or less then he/she will receive no bonus, if the amount of money exceeds $\$5000$, but is less than $\$10000$, then he/she will receive an additional $\$300$ and if it exceeds $\$10000$ then an additional $\$700$. *Builders sometimes receive more money for their work if they do it before the time expected. For instance, a builder has to receive $\$1500$ for some particular work. He gets no additional wage if it will take him more than 30 days. But if the builder finishes the work in between 20-30 days, he will receive an additional $\$100$ as a bonus; in the case of 10-20 days, he will receive $\$200$ as a bonus and if he finishes it within 10 days he will get $\$400$ as bonus.
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