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: 27


The linear function in slope intercept form that models the total spending, $p\left( x \right)$, by Americans x years after $1950$ is $p\left( x \right)=-0.25x+22$.

Work Step by Step

From the provided information, the rate of change of decrease in the budget is provided as $0.25\%$. This represents the slope with a negative sign. $m=-0.25$. And the value of c is provided as $22\%$ because the Americans spent $22\%$ of their budget in $1950$ (which is the starting year that shows y the intercept). Substitute the values $m=-0.25$ and $c=22$. The obtained linear model is: $p\left( x \right)=-0.25x+22$. Hence, the linear function in slope-intercept form that models the total spending is $p\left( x \right)=-0.25x+22$.
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