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5.2 Properties of ParabolasPowerPoint Presentation

5.2 Properties of Parabolas

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### 5.2 Properties of Parabolas

Word Problems

Word Problemsp.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?

Word Problemsp.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

Word Problemsp.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

Word Problemsp.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.

Word Problemsp.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.

Word Problemsp.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.

Word Problemsp.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.

Word Problemsp.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.

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