Answer
See below.
Work Step by Step
From the exercise $\overline{x}=\frac{x_1+x_2+...+x_n}{n}$.
Then $\frac{ax_1+ax_2+...+ax_n}{n}=\frac{a(x_1+x_2+...+x_n)}{n}=a\frac{x_1+x_2+...+x_n}{n}=a\overline{x}$
Thus we proved what we had to.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 11 Data Analysis and Statistics - 11.2 Apply Transformations to Data - 11.2 Exercises - Skill Practice - Page 753: 17
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