Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Review Exercises - Page 109: 65

Answer

The water level of the reservoir at the end of five months is $23$ $feet$.

Work Step by Step

For this word problem, you go step-by-step by adding and subtracting from an initial value. Your initial value is $25$ $feet$, from which you subtract $3$ $feet$ because the water level fell $3$ $feet$: $25$ $feet - 3$ $feet$ The next step, you add $2$ $feet$ because the water level rose $2$ $feet$. $25$ $feet - 3$ $feet$ + $2$ $feet$ The water level rose another $1$ $foot$, so you add $1$ $foot$: $25$ $feet - 3$ $feet$ + $2$ $feet$ + $1$ $feet$ Then you subtract $4$ $feet$ because the water level fell by that much: $25$ $feet - 3$ $feet$ + $2$ $feet$ + $1$ $feet$ - $4$ $feet$ Finally, the reservoir rose $2$ $feet$, so you have the following final expression: $25$ $feet - 3$ $feet$ + $2$ $feet$ + $1$ $feet$ - $4$ $feet$ + $2$ $feet$ $23$ $feet$ is your answer if you add from left to right according to the order of operations.
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