Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.5 - More on Slope - Exercise Set - Page 226: 28


The linear function in slope-intercept form that models the total spending, $p\left( x \right)$, by Americans x years after $1950$ is $p\left( x \right)=0.22x+3$.

Work Step by Step

From the provided information, the rate of change of the increase in the budget is provided as $0.22\%$. This represents the slope with a positive sign. $m=0.22$. And the value of c is provided as $22\%$ because the Americans spent $3\%$ of their budget in $1950$ (which is the starting year that shows the y intercept). Substitute the values $m=0.22$ and $c=3$. The obtained linear model is: $p\left( x \right)=0.22x+3$
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