# MAT 205 UA Heart Attacks Death Rate with Liters of Alcohol from Wine Questions

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Prepare: Prior to beginning work on this discussion, read Chapter 9: Modeling Our World and Chapter 10: Modeling with Geometry in your course text, especially pages 532-3 & 536-9.
For this discussion, identify three different variable pairs in which two quantities appear to be related from either recent news stories, the web, or that you encounter in your everyday life. Each variable pair should come from a different source (as illustrated in the week 4 Discussion Sample) and there should be three sets of paired variables total.
Important note: Only one of the variables can use “time” as an independent variable. For example, you cannot have your variable pairs be (time, dependent variable 1), (time, dependent variable 2) and (time, dependent variable 3). However, you can have your variable pairs be (time, dependent variable 1), (independent variable 2, dependent variable 2) and (independent variable 3, dependent variable 3).
For inspiration, use the examples listed in the solution to Example 1 on p. 537 of the text, or the Week 4 Discussion Sample download, MAT205.W4.DiscussionSample.pdf. Be sure to select different examples!
Create Table
After you have identified three different variable pairs (from distinct sources), make a table of between 10 and 20 entries of data values for each of your variable pairs.
Create Graph
Then, graph your data values for each variable pair and describe in words the function that relates the variables. For each pair, write down at least five (5) points on the graph. Draw the graph using paper & pencil or use an online graphing calculator like Desmos Graphing Calculator (Links to an external site.).
For each of the pairs you listed, identify the dependent and independent variables and briefly describe the relationship.

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MAT205.W4.DiscussionSample
You must use different examples from the ones shown below!
Identify three different variables from recent news stories, the web, or situations you encounter in
your everyday life. You are asked to find three sets of paired variables.
Tips: In these sets of paired variables only one can be time. In other words, you may use “time” as
an independent variable only once.
Example 1: The average wage for a cashier in Missouri is \$15 an hour. For this graph the
starting point is (0,0) with wages for 1 hour being (1,15) and the wages for 2 hours being (2,30)
and so on. The independent variable is time and the dependent variable is money earned
in dollars. Plot a graph showing the following ordered pairs.
1.
2.
3.
4.
(2,30)
P(2.5) = 15*2.5 or \$37.50 Graph (2.5,37.5)
P(3) = 15*3 or \$45.00 Graph (3,45)—–This means 3 hours worked earns \$45.
P(4) = 15*4 or \$60.00 Graph (4,60)
Example 2:
Table: Healthy dog weight, amount of food fed to the dog
Dog weight
(W)
3 lbs.
6 lbs.
10 lbs.
15 lbs.
20 lbs.
Amount of food (a) fed
to the dog daily
1/3 C. per day
½ C. per day
¾ C. per day
1 C. per day
1 1/3 C. per day
MAT205.W4.DiscussionSample
30 lbs.
40 lbs
50 lbs.
60 lbs.
70 lbs.
80 lbs.
90 lbs.
100 lbs.
You must use different examples from the ones shown below!
1 ¾ C. per day
2 ¼ C. per day
2 2/3 C. per day
3 C. per day
3 ½ C. per day
3 ¾ C. per day
4 ¼ C. per day
4 ½ C. per day
To keep your dog healthy, the recommended daily allowance of food for a dog depends on his weight.
W=f(a). The dog’s weight is a function of the amount of food to be fed. So, weight is the independent
variable and the amount of food fed to the dog is the dependent variable.
Example 3:
Table: Number of bees/teaspoons of honey
Bees
Teaspoons of honey
12
1 tsp
36
3 tsps.
72
6 tsps. (1oz.)
294
24.5 tsps. (1/2c.)
588
49 tsps. (1C.)
1152
96 tsps. (1pt.)
2304
192 tsps. (1qt.)
2436
203 tsps. (1lt.)
9216
768 tsps (1gal)
13824 1152 tsps. (1 ½ gal)
MAT205.W4.DiscussionSample
You must use different examples from the ones shown below!
It takes approximately 1000 flowers and 12 bees to make 1 tsp of honey. Bees use pollen from flowers
to make honey. The number of bees is the independent variable and the amount of honey produced
in teaspoons is the dependent variable.

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graphing calculators

variation of children

independent variable

dependent variable

positive relationship

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