54b rational functions cont

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Alg2 5.4B Notes.notebook 1 February 10, 2015 warmup Skills we need for the quiz 54B Rational Functions Cont. 2. The cost per person c of chartering a tour bus varies inversely as the number of passengers n. If it costs $22.50 per person to charter a bus for 20 passengers, set up a variation function then find out how much it will cost per person to charter a bus for 65 passengers. 1. Set up: Score on quiz varies jointly with sleep and nutrition and inversely with t.v. 3. 4. 7. Add/Subtract/Multiply/Divide/Simplify. Identify any xvalues for which the expression is undefined. 5. 6. . + alg

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Page 1: 54B Rational Functions Cont

Alg2 5.4B Notes.notebook

1

February 10, 2015

warm­up

Skills we need for the quiz

5­4B Rational Functions Cont.

2. The cost per person c of chartering a tour bus varies inversely as the number of passengers n. If it costs $22.50 per person to charter a bus for 20 passengers, set up a variation function then find out how much it will cost per person to charter a bus for 65 passengers.

1.  Set up:  Score on quiz varies jointly with sleep and nutrition and inversely with t.v.

3. 4.

7.

Add/Subtract/Multiply/Divide/Simplify.  Identify any x­values for which the expression is undefined.

5. 6. .

+ alg

Page 2: 54B Rational Functions Cont

Alg2 5.4B Notes.notebook

2

February 10, 2015

Warm­up ans.

Warm­up Answers

2. The cost per person c of chartering a tour bus varies inversely as the number of passengers n. If it costs $22.50 per person to charter a bus for 20 passengers, set up a variation function then find out how much it will cost per person to charter a bus for 65 passengers.

1.  Set up:  Score on quiz varies jointly with sleep and nutrition and inversely with t.v.

Warm­up ans. cont.

3. 4.

Add/Subtract/Multiply/Divide/Simplify.  Identify any x­values for which the expression is undefined.

5.

Page 3: 54B Rational Functions Cont

Alg2 5.4B Notes.notebook

3

February 10, 2015

Feb 10­11:08 AM

7.

6. .

Learning Target

Graph rational functions using asymptotes and intercepts.  

Estimating average cost of prom per person

5­4B Rational Functions Cont.

Page 4: 54B Rational Functions Cont

Alg2 5.4B Notes.notebook

4

February 10, 2015

Application

1) For a fundraising project, your math club is publishing a fractal art calendar.  The cost of the digital images and the permission to use them is $850.  In addition to these "one­time" charges, the unit cost of printing each calendar is $3.25.

a)  What is the model for average cost per person

b)  How many do you need to print before the average cost is $5?

Average Costnot assigned this time

Graphing Rational Functions

II.  Graphing Rational FunctionsExamples of General Rational Functions:

Page 5: 54B Rational Functions Cont

Alg2 5.4B Notes.notebook

5

February 10, 2015

Graphing Rational Functions

II.  Graphing Rational Functions*bottom heavy

2)

*crossing horizontal asymptotes

Graphing Rational Functions

II.  Graphing Rational Functions*equal

3)

Page 6: 54B Rational Functions Cont

Alg2 5.4B Notes.notebook

6

February 10, 2015

Graphing Rational Funct.

II.  Graphing Rational Functions

4)

*top heavy

*slant asymptote 

Formulas

*give out my study guide

Page 7: 54B Rational Functions Cont

Alg2 5.4B Notes.notebook

7

February 10, 2015

You try

5.

Feb 10­12:36 PM

6.

Page 8: 54B Rational Functions Cont

Alg2 5.4B Notes.notebook

8

February 10, 2015

Let's think

7.

why?

Homework

5­4B p.345 #8 ­ 16, 23 ­ 31 odd, 33, 38 ­ 41  plus:  simplify and evaluate  

, assuming x>0solve