4.2c Homework: Proportions (Unit Rates) from Tables and Graphs

Transcription

1 4.2c Homework: Proportions (Unit Rates) from Tables and Graphs Label the axes and graph the information from the table. Use the table to determine if the relationship represented is proportional throughout the table. If it is proportional, state the proportional constant (unit rate) as a fraction or as a decimal. If it is not proportional, write N/A (Not Applicable) for unit rate questions. 1. Bananas (lbs) Price ($) ? Explain your answer. If yes, what is the unit rate? (pick the most useful unit rate) If proportional, where do you see the unit rate in the table and in the graph? 2. # Bagels Price ($) ? Explain your answer. If yes, what is the unit rate? (pick the most useful unit rate) If proportional, where do you see the unit rate in the table and in the graph? 7WB4-58

2 3. Eggs Cups of milk ? Explain your answer. If yes, what is the unit rate? (pick the most useful unit rate) If proportional, where do you see the unit rate in the table and in the graph? 4. # of MP3s Price ($) ? Explain your answer. If yes, what is the unit rate? (pick the most useful unit rate) If proportional, where do you see the unit rate in the table and in the graph? 5. Minutes Cell Phone Monthly Charge $10 $20 $30 $40 $50 $60? Explain your answer. If yes, what is the unit rate? (pick the most useful unit rate) If proportional, where do you see the unit rate in the table and in the graph? 7WB4-59

3 Determine whether or not each graph represents a proportional relationship Which graphs above show proportional relationships? How do you know? WB4-60

4 4.2d Classwork: Review Proportional Tables, Stories, and Graphs and Compare Rates 1. For the table below, a) create a context, b) graph the data, making sure to label your axes, c) determine if the relationship is proportional, and c) state the relationship between gallons bought and money spent: Gallons bought Money spent on gas 1 $ $ $ $15 5 $ $ $ $ Toni ran in a marathon. The graph given below represents the distance she has traveled since the beginning of the race. a. Create a table with at least three entries showing her distance at different times; be sure to label your columns. b. Is the relationship between time and distance proportional? Explain. c. If proportional, where do you see the unit rate in the table and on the graph? d. Suppose another runner started a the same time as Toni and in 3.5 hours ran a distance of 20 miles. Which runner was going faster? 7WB4-61

5 3. Examine the graphs below: a) fill in a table with at least two values and then b) determine if the graphs show a proportional relationship. If the graph is a proportional relationship state the proportional constant. a. x y b. x y Proportional constant: Proportional constant: c. x y d. x y Proportional constant: Proportional constant: Graph each proportional relationship from above on the grid below. For each x value in the relationship above, state the corresponding y value: a) if x = 1, y = b) if x = 1, y = c) if x = 1, y = d) if x = 1, y = What do you notice about the relationship between the graphs and the proportional constant? 7WB4-62

6 Use the story to complete the following. Milo and Sera each bought chocolate cinnamon bears from different candy stores. Milo paid $3.00 for 2 pounds and Sera paid $5.25 for 3 pounds. 4. Fill in each box for Milo s purchase: a. Create a table for Milo s story. x y b. Sketch a graph. LABEL axes. c. Is this a proportional relationship? Explain. d. If proportional, what is the unit rate? Highlight the corresponding point on graph. e. State the relationship between pounds and cost: 5. Fill in each box for Sera s purchase: a. Create a table for Sera s story. x y b. Sketch a graph. LABEL axes. c. Is this a proportional relationship? Explain. d. If proportional, what is the unit rate? Highlight the corresponding point on graph. e. State the relationship between pounds and cost: 6. Who got the best deal on chocolate cinnamon bears? Explain? ( ( 7WB4-63