lesson 3: identifying proportional and non-proportional relationships in tables you have been hired...
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LESSON 3: Identifying Proportional and Non-Proportional Relationships in Tables
You have been hired by your neighbors to babysit their children on Friday night. You are paid $8 per hour. Complete the table relating your pay to the number of hours you worked.
Dr. Basta 1
Hours Worked
Pay
1
2
3
4
4 ½
5
6
6.5
Based on the table you completed, is pay proportional to hours worked? How do you know?
Show TWO ways you may use the table to determine the pay for 20 hours:
LESSON 3: Identifying Proportional and Non-Proportional Relationships in Tables
[1] The table below represents the amount of snowfall in 5 counties (in inches) to hours of a recent winter storm.
[2] The table below shows the relationship between cost of renting a movie to the number of days on rent.
Dr. Basta 2
Show proof (work) to determine if y is proportional to x:
Time (h)
Snowfall(in)
2 106 128 16
2.5 57 14
Number of Days
Cost
6 29 3
24 83 1
LESSON 3: Identifying Proportional and Non-Proportional Relationships in Tables
For each example on the last slide, if the quantities in the table were graphed, would the point (0,0) be on that graph?
Snow example: YES _____, NO _____
Rent movie example: YES _____, No _____
Describe what the point (0,0) would represent in each table.
Snow example
Rent movie example
Dr. Basta 3
Show proof (work) to determine if y is proportional to x:
Problem Set: Module 1, Topic A, Lesson 3
[1] The table below shows the price for the number of roses indicated.
Is the price proportional to the number of roses? How do you know
Find the cost of purchasing 30 roses.
Student Name: ____________________________ Dr. Basta 4
Number of Roses
3 6 9 12 15
Price (Dollars)
9 18 27 36 45
Problem Set: Module 1, Topic A, Lesson 3
[2] In each table determine if is proportional to . Explain why or why not.
Student Name: ____________________________ Dr. Basta 5
Table A
3 125 202 88 32
Table B
3 154 175 196 21
Table C
6 49 612 83 2
Problem Set: Module 1, Topic A, Lesson 3
• [3] Kayla made observations about the selling price of a new brand of coffee that sold in three different sized bags. She recorded those observations in the following table:
Is the price proportional to the amount of coffee? Why or why not?
Student Name: ____________________________ Dr. Basta 6
Ounces of Coffee
6 8 16
Price in Dollars
$2.10 $2.80 $5.60
Problem Set: Module 1, Topic A, Lesson 3
[4] Randy is planning to drive from New Jersey to Florida. Randy recorded the distance traveled and the total number of gallons used every time he stopped for gasoline. Assume miles driven is proportional to gallons consumed in order to complete the following table. Show and label your work.
Student Name: ____________________________ Dr. Basta 7
Gallons Consumed 2 4 8 10 12
Miles Driven 54 189 216