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: 80

Answer

The value of $f\left( 50 \right)$is 200 and 50 years old drivers have 200 per 50 million miles, which is represented in the coordinate system as$\left( 50,200 \right)$.

Work Step by Step

Consider the given function: $f\left( x \right)=0.4{{x}^{2}}-36x+1000$ Substitute, the value of x as 50 in the above equation. $\begin{align} & f\left( 50 \right)=0.4{{\left( 50 \right)}^{2}}-36\left( 50 \right)+1000 \\ & =1000-1800+1000 \\ & =200 \end{align}$ Here, the coordinate of the point on the graph f is $\left( 50,200 \right)$. It indicates that if the age of the driver is 50, then a number of the accidents is 200 per 50 million miles. Hence, the value of $f\left( 50 \right)$is 200 and 50 years old drivers have 200 per 50 million miles, which is represented in the coordinate system as$\left( 50,200 \right)$.
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