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5.2 Properties of Parabolas Word Problems. Word Problems p.247 Quick Check The number of widgets the Woodget Company sells can be modeled by -5p + 100,

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Presentation on theme: "5.2 Properties of Parabolas Word Problems. Word Problems p.247 Quick Check The number of widgets the Woodget Company sells can be modeled by -5p + 100,"— Presentation transcript:

1 5.2 Properties of Parabolas Word Problems

2 Word Problems p.247 Quick Check The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue?

3 Word Problems p.247 Quick Check The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue? Let R = revenue Let p = price of a widget

4 Word Problems p.247 Quick Check The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue? Let R = revenue Let p = price of a widget

5 Word Problems p.247 Quick Check The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue? Find p at the vertex. This will be the price that will yield maximum revenue.

6 Word Problems p.247 Quick Check The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue? Find p at the vertex. This will be the price that will yield maximum revenue.

7 Word Problems p.247 Quick Check The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue? $10 will maximize revenue.

8 Word Problems p.247 Quick Check The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue? Evaluate for R when p = 10.

9 Word Problems p.247 Quick Check The number of widgets the Woodget Company sells can be modeled by -5p + 100, where p is the price of a widget. What price will maximize revenue? What is the maximum revenue? A price of $10 will yield maximum revenue. The maximum revenue is $500.

10 Word Problems p.248 #30 Let x = number of tires produced Let C = total revenue

11 Word Problems p.248 #30 Find x at the vertex.

12 Word Problems p.248 #30 Find x at the vertex.

13 Word Problems p.248 #30 Find x at the vertex. Producing 1000 tires will minimize cost.

14 Word Problems p.248 #30 Find C.

15 Word Problems p.248 #30 Find C.

16 Word Problems p.248 #30 Find C. The total cost is $20 when producing 1000 tires.

17 Homework p.248 #28, 29, 41, 43, 54, 55 HINT: #41-55 A square will maximize area.


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