Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 8 - Section 8.2 - Solving Quadratic Equations by the Quadratic Formula - Exercise Set: 90b


37.7 pounds

Work Step by Step

The amount of vitamins is modeled by: $y=.149x^2-4.475x+406.478$ We are asked to find the weight of a child who should be receiving 600 micrograms. The equation then becomes: $y=.149x^2-4.475x+406.478-600$ Once we simplify using subtraction, we use the quadratic formula. $$x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ Where b is the coefficient of the term with a variable raised to the first power, a is the coefficient of the squared term, and c is the coefficient of the term without a variable in front of it. This gives the answer: 37.7 pounds
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