Thinking Mathematically (6th Edition)

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

Chapter 6 - Algebra: Equations and Inequalities - 6.1 Algebraic Expressions and Formulas - Exercise Set 6.1 - Page 348: 70


The number of calories needed between the age of 19 and 30 are $2332$. It underestimates the number shown by the graph by $68$calories.

Work Step by Step

Consider the equation as follows: $M=-96{{x}^{2}}+802x+660$ where M represents the number of males and x represents the age group. Now, substitute the value of $x$as 4 and find the value of$F$. $\begin{align} & M=-96{{x}^{2}}+802x+660 \\ & =-96{{\left( 4 \right)}^{2}}+802\left( 4 \right)+660 \\ & =-1536+3208+660 \\ & =2332 \end{align}$ Here, x is considered as 4 because the age group 19-30 lies in the group 4. From the graph, $2400$calories are needed for males of age group, 19-30. Now, subtract the value of the calorie against age range 19-30 given in the graph from the calculated value of the calorie to obtain: $2400-2332=68$ The value of graph is higher by 68 calories. Hence, the given model underestimates the number shown by the graph by $68$ calories.
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