Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Exercises - Page 136: 132

Answer

$(a)$ $S=3500t+60000$ $(b)$ The slope represents rate of change of her annual salary. The $S$-intercept represents her salary before increase. $(c)$ $\$102,000$

Work Step by Step

$(a)$ According to the information given, we can write: $\$70500-\$60000=\$10500$ Her salary has increased by $\$10500$ within 3 years. If the salary increases linearly, the her salary increases by $\$\frac{10500}{3}=\$3500$ per year. So, we can write the relation: $S=3500t+60000$ $(b)$ The slope represents rate of change of her annual salary. The $S$-intercept represents her salary before increase. $(c)$ $t=12$ $S=3500\times12+60000=\$102000$
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