Section 2_6 - Math 1650 Lecture Notes §2.6 Jason Snyder PhD Modeling with Functions Page 1 of 6 2.6 Modeling with Functions Modeling with

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Unformatted text preview: Math 1650 Lecture Notes §2.6 Jason Snyder, PhD. Modeling with Functions Page 1 of 6 § 2.6: Modeling with Functions Modeling with Functions Example 1 Modeling the Volume of a Box A breakfast cereal company manufactures boxes to package their product. For aesthetic reasons, the box must have the following proportions: Its width is 3 times its depth and its height is 5 times its depth. (a) Find a function that models the volume of the box in terms of its depth. (b) Find the volume of the box if the depth in 1.5 in. (c) For what depth is the volume 90 in 3 ? (d) For what depth is the volume greater than 60 in 3 ? To find the function that models the volume of the box, we use the following steps. Express the Model in Words We know that the volume of a rectangular box is volume=depth × height × width Choose the Variable There are three varying quantities – width, depth, and height. Since the function we want depends on the depth, we let = depth of the box Then we express the other dimensions of the box in terms of x ....
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This note was uploaded on 10/07/2009 for the course MATH 150 taught by Professor Unknown during the Spring '06 term at Ohio State.

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Section 2_6 - Math 1650 Lecture Notes §2.6 Jason Snyder PhD Modeling with Functions Page 1 of 6 2.6 Modeling with Functions Modeling with

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