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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.).

Describe Your Results in Words

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)

Retrieved from http://www.goldenblossomhoney.com/education_landing.php

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.

Purchase answer to see full

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graphing calculators

variation of children

independent variable

dependent variable

positive relationship

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