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Warm Up

Click anywhere when you finish reading the problem. Warm Up.

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Warm Up

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  1. Click anywhere when you finish reading the problem. Warm Up A dance club charges a $5 cover chargewhen the regular dj plays. The manager estimates that each $.50 increase in cover charge will decrease attendance by 10 people, and each $.50 decrease will increase attendance by 10 people. Currently, the average attendance is about 200 people. • Write a function to represent the price, p(x) • Write a function to represent the attendance, a(x) • Write a function to represent the revenue, r(x)

  2. Write a function to represent the price, p(x) • Write a function to represent the attendance, a(x) • Write a function to represent the revenue, r(x) Find what the cover charge should be to maximize revenue and what the maximum revenue is

  3. Solving Quadratic Equations by Squaring • When solving an equation by squaring both sides, look for extraneous solutions Example Since this is a FALSE statement, it is called an extraneous solution C H E C K I T If my constant is negative, there is NO SOLUTION! Here’s a HINT!

  4. Solve for x.

  5. Another ExampleSolve for x.

  6. One More…You know it..solve for x. Alright, let me try some!

  7. Example 1

  8. Example 1-Answer Since we got a FALSE statement, this is an EXTRANEOUS SOLUTION!! That was too easy. Try Another!

  9. Example 2

  10. Example 2-Answer Try Another!

  11. Example 3

  12. Example 3

  13. Last Thing! Distance formula Pythagorean Theorem

  14. Distance Formula Here’s an example! I’d like to try!

  15. Distance Formula Example

  16. Distance Formula Answer

  17. Pythagorean Theorem Only used in RIGHT TRIANGLES! I’d like to try! My answer is not because side length CANNOT be negative!

  18. Pythagorean TheoremExample

  19. Pythagorean TheoremAnswer

  20. GET YOUR HOMEWORk NOW!!!

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