college algebra math 130 amy jones lewis. moving a sand pile a relation is a function if for each...
TRANSCRIPT
![Page 1: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/1.jpg)
College AlgebraMath 130
Amy Jones Lewis
![Page 2: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/2.jpg)
Moving a Sand Pile A relation is a function if for each input there
is exactly one output. Determine whether the relation below is a
function. (2, 6), (3, 9), (4, 12), (5, 15), (6, 18) (3, 3), (4, 1), (4, 6), (5, 0), (7, 5) (1, 2), (2, 3), (3, 0), (4, 1), (5, 0)
The set of all input values of a function is the domain of the function, and the set of all output values is the range of the function.
![Page 3: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/3.jpg)
Solving Equations
300 – 5f = 725
1 - .15t = 9
10 = 14 – 2t
![Page 4: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/4.jpg)
Write a story to describe each graph.
How would you describe the eating patterns of the six people shown?
Kettle Korn Tell a Story Graphs
![Page 5: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/5.jpg)
Am
ou
nt
of
Kett
le K
orn
Time
![Page 6: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/6.jpg)
Am
ou
nt
of
Kett
le K
orn
Time
![Page 7: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/7.jpg)
Am
ou
nt
of
Kett
le K
orn
Time
![Page 8: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/8.jpg)
Am
ou
nt
of
Kett
le K
orn
Time
![Page 9: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/9.jpg)
Am
ou
nt
of
Kett
le K
orn
Time
![Page 10: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/10.jpg)
Am
ou
nt
of
Kett
le K
orn
Time
![Page 11: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/11.jpg)
Donny’s Dinner Dilemma
![Page 12: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/12.jpg)
The graphs show data for three dinner plans. Make observations about
each of the graphs. Find a way to determine
the cost for any number of meals purchased on each dinner plate and explain your reasoning.
Which dinner plan is best?
Donny’s Dinner Dilemma
![Page 13: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/13.jpg)
Begin by individually making observations about each of the graphs, and then share your observations with your small groups.
Working with your group, find a way for determining the cost for any number of dinners in each plan. (Write an equation.)
Decide which plan is best.
Donny’s Dinner Dilemma
![Page 14: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/14.jpg)
If you only had $45 to spend on food for the week, which dinner plan should you buy?
Does it make sense to connect the points in the dinner plan graphs? Why or why not?
Donny’s Dinner Dilemma
![Page 15: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/15.jpg)
Describe another situation besides dinner card plans that would generate a formula and a graph similar to the graph of Plan A or Plan B.
Describe another situation that would give you a formula and a graph similar to the Regular Price Plan.
Donny’s Dinner Dilemma
![Page 16: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/16.jpg)
What is the actual cost per meal for each of the plans if you consider the “activation fee”?
Graph the actual cost per meal as a function of the number of meals for each of the dinner card plans. (You can do this either by hand or with a graphing calculator.)
Donny’s Dinner Dilemma
(Hint -- If you buy two meals in Plan A the cost is $8 per meal plus $4 for the dinner card, so the actual cost per meal is $10).
![Page 17: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/17.jpg)
Discussing the graph
List all of the pertinent information that can be read from the graph.(i.e. intersection points, when one deal is better than another…)
How would you describe the graph?
Donny’s Dinner Dilemma
![Page 18: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/18.jpg)
Graph of Cost Per Meal
0
2
4
6
8
10
12
14
16
18
20
Number of meals
Co
st
pe
r m
ea
l
Regular price cost per meal
Plan A cost per meal
Plan B cost per meal
Donny’s Dinner Dilemma
![Page 19: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/19.jpg)
Five Different Representations of a Function
Language
TableContext
Graph Equation
![Page 20: College Algebra Math 130 Amy Jones Lewis. Moving a Sand Pile A relation is a function if for each input there is exactly one output. Determine whether](https://reader038.vdocuments.net/reader038/viewer/2022103007/56649e9d5503460f94b9ec9a/html5/thumbnails/20.jpg)
Homework Continue working on Donny’s Dinner Dilemma
Next Class: Wednesday, October 6