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Problem and Variables

Amy and her 5 friends plan to visit the zoo, with an entry fee of $5 each and $25 for souvenirs. Discover how to calculate total expenses based on the number of friends she brings. By formulating the equation C = f(30) + 30, we analyze the relationship between the number of friends (independent variable) and the total cost (dependent variable). We also determine the discrete nature of this function, summarizing the domain of friends and their corresponding costs in a table. Join us as we explore this fun math problem!

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Problem and Variables

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  1. Problem and Variables By: Camryn Parsons

  2. The Problem Amy and up to 5 friends want to go to the Zoo. If it costs $5.00 to get in, and each girl has $25 to spend on souvenirs, how much will they spend if she brings 1,2,3,4, and 5 friends? Remember to include Amy!

  3. The Equation This is one of the possible equations if f= number of friends, and c= cost of trip. C= f(30)+30 What are the independent and dependent variables in the equation? Is this a function? Why or why not?

  4. Independent and Dependent I= The number of friends Amy brings D= The cost of the trip Yes, this is a function The X-values do not repeat. Domain= The list of X-values in a function. Range= The list of Y-values in a function.

  5. Domain and Range D=(1,2,3,4,5) R=(60,90,120,150,210) Is this continuous or discrete? Why or why not?

  6. Continuous or Dicscrete? This is a discrete function because it has a fixed number of x values, so the line couldn’t go on.

  7. Function Notation Remember, the equation is C= f(30)+30 So, function notation would be f(x)= x(30)+30

  8. The Table of Values

  9. The Graph

  10. The Results So, if Amy brings 1 friend, it will cost 60 dollars total. If she brings 2 friends, it will cost 90 dollars total. So on and so forth.

  11. Thanks For Watching!!!!! http://www.destination360.com/north-america/us/tennessee/images/s/memphis-zoo.jpg http://www.cuti.com.my/Sub/Kl/kuala_lumpur_national_zoo_and_aquarium.jpg Thanks To:

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