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Problem and Variables
By: Camryn Parsons
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!
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?
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.
Domain and Range D=(1,2,3,4,5) R=(60,90,120,150,210)
Is this continuous or discrete? Why or why not?
Continuous or Dicscrete? This is a discrete function because it
has a fixed number of x values, so the line couldn’t go on.
Function Notation Remember, the equation is C=
f(30)+30
So, function notation would be f(x)= x(30)+30
The Table of Values
X f(x)=x(30)+30 Y Coordinate Points
1 f(x)=1(30)+30 60 (1,60)
2 f(x)=2(30)+30 90 (2,90)
3 f(x)=3(30)+30 120 (3,120)
4 f(x)=4(30)+30 150 (4,150)
5 f(x)=5(30)+30 180 (5,180)
The Graph
0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.50
20
40
60
80
100
120
140
160
180
200
Series1Linear (Series1)
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.
Thanks For Watching!!!!! Thanks To: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