150ch1_6-10

# 150ch1_6-10 - Math 150, Fall 2007, c Benjamin Aurispa 1.6...

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Math 150, Fall 2007, c ± Benjamin Aurispa 1.6 Modeling with Equations Steps to Modeling Problems with Equations 1. Identify the variable you want to solve for. 2. Express all unknown quantities in terms of this variable. 3. Set up the model by ﬁnding the equation that relates all the expressions you found in Step 2. 4. Solve the equation, and check to make sure your answer makes sense. Examples There are two trees in a ﬁeld. The taller tree casts a 150 ft shadow. The shorter tree is 15 ft tall and the taller tree is 90 ft tall. How long is the shadow of the shorter tree? (1.6 #52) Suppose I have a 60% acid solution and I want to mix it with a 30% solution to produce 300 mL of a 50% solution for an experiment. How much 60% acid solution must I use? 1

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± Benjamin Aurispa If Ben can ﬁnish a test in 60 minutes and Carlos can ﬁnish the test in 90 minutes, how long would it take for them to ﬁnish the test working together? (1.6 #70) Suppose I drive from City A to City B, a distance of 250 mi, at a certain speed. Then I increase my speed by 10 mph for the trip from City B to City C, a distance of 360 miles. If the whole trip took 11 h, what was my speed from City A to City B? The length of a rectangular lot is 70 ft more than its width. The length of the diagonal of the lot is 80 more than the width of the lot. What is the width of the lot? 2
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## This note was uploaded on 10/08/2009 for the course MATH 150 taught by Professor Unknown during the Fall '08 term at Texas A&M.

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150ch1_6-10 - Math 150, Fall 2007, c Benjamin Aurispa 1.6...

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