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For example, how much would you each pay if it cost $150 to rent the pool?

Have you ever wondered how much it would cost you and your friends to rent out the pool for an entire afternoon?. For example, how much would you each pay if it cost $150 to rent the pool?. In this lesson you will learn how to create and graph relationships by using rational functions.

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For example, how much would you each pay if it cost $150 to rent the pool?

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  1. Have you ever wondered how much it would cost you and your friends to rent out the pool for an entire afternoon? For example, how much would you each pay if it cost $150 to rent the pool?

  2. In this lesson you will learn how to create and graph relationships by using rational functions

  3. Rational functions: y*x=64 y = (1-x)/(1+x) f(t) = (t-1)(t+5)/(1+t) asymptotes

  4. Forgetting input restrictions y = x cannot equal 0

  5. Let’s investigate the following problem: The local swimming pool charges $150 to rent the pool for the day. Create and graph the relationship between the number of people renting the pool and the price per person.

  6. $150 cost of pool cost = price per person * people 150 = price * ppl

  7. 150 = price * ppl 160 Price per person ($) 140 120 100 80 60 40 20 0 0 10 20 30 people (#)

  8. In this lesson you have learned how to create and graph relationships by using rational functions

  9. Let’s investigate the following problem: Each bag of M&Ms contains roughly 210 candies; you wonder how many you will get if you decide to share with your friends. Create and graph an expression to represent the number of people sharing a bag and the number of M&Ms per person.

  10. 210 M&Ms in a bag total = M&Ms per person * people 210 = candies* ppl

  11. 210 = candies* ppl Candies per person ($) 250 200 150 100 50 0 0 10 20 30 people (#)

  12. Explore and describe how a constant change in input values affects the change in output values. • Explore what happens when you have very large input values. Investigate what this is called, and explain what it means when input values are very high. • In these real-world examples, the domain was all positive numbers. Explore what happens when you input negative inputs, and an input of zero.

  13. 1. The winning tug-of-war team at summer camp wins 50 s’mores for the team. Create and graph the function between the number of people on the team and the number of s’mores each wins. 2. A pack of Pringles contains about 40 chips. Create and graph the function between the number of people sharing a pack and the number of chips they each get.

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