Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.1 Graphing and Functions - Exercise Set 7.1 - Page 420: 90

Answer

No, it does not make sense.

Work Step by Step

Recall that the distributive property is explained as: $2\left( x+y \right)=2\times x+2\times y$ Here, it shows that the unit outside the bracket is multiplied with each unit inside the bracket. Now, to calculate $f\left( 50 \right)$ substitute x as 50 in the provided equation and apply above formula: $\begin{align} & f\left( 50 \right)=3\left( 50 \right)+2 \\ & =152 \end{align}$ Also, apply distributive property on$\left( 3x+2 \right)50$: $\begin{align} & \left( 3x+2 \right)50=\left( 3\times 50 \right)x+2\times 50 \\ & =150x+100 \end{align}$ This value is not equal to the solution$152$. It shows that the obtained value is incorrect. Thus, the given statement does not make sense.
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