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 - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2 - Page 431: 61

Answer

$P\left( x \right)=0.725x+18$

Work Step by Step

The graph between the percentage of grade and the grade shows the percentage of grades A and C of students in the years 1968 and 2008. Consider the general slope-intercept form of the linear function: $P\left( x \right)=mx+b$ Here, $m$ is slope of the curve plotted by the function, $b$ is the y-intercept, and x is the variable that represents year after 1968. The increase in the average rate represents the slope of the curve on the graph. It shows that $m=0.725$and the b y-intercept is \[18%\]. Substitute the values in the above equation: $P\left( x \right)=0.725x+18$ Here, the above function is the linear function in the slope-intercept form. The above function models the percentage of the particular high school grade of students entering college x years after the year 1968.
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