Grade 6 Mathematics · Unit 9: Relationships Between Two VariablesStandard 6.AT.11

Lesson 9.2Analyzing a Graph

Apply Day · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can use a table and a graph to determine and analyze the relationship between two variable quantities.

Remember9.2 · Part II

Representing Two-Variable Relationships with Tables & Graphs

  1. Construct table: Put independent variable in column 1 (x) and dependent in column 2 (y)
  2. Identify the rate of change or rule connecting x to y
  3. Plot the ordered pairs on the coordinate plane with x on horizontal axis and y on vertical

Words: graph (gráfica)table of values (tabla de valores)ordered pair (par ordenado)axis (eje)coordinates (coordenadas)

  1. 1Complete each step, then write the final answer.
    Pens15Total cost ($)2?× ?× ?
    Use the same scale factor on both rows.

    Pens cost $2 each. The graph of (pens, total cost) passes through (5, ?). What is the missing number?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Time (minutes)16Height (feet)1,500?× ?× ?
    Use the same scale factor on both rows.

    A tram climbs 1,500 feet each minute. The graph shows (minutes, feet). What is the point for 6 minutes? Give the feet.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Bags61?Weight (pounds)15?25÷ ?÷ ?× ?× ?
    Go to 1 first, then scale up.

    A graph of (bags, pounds) passes through (6, 15). Every bag weighs the same. How many bags weigh 25 pounds?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    Time (minutes)18Water (gallons)20?× ?× ?
    Use the same scale factor on both rows.

    A pool fills with 20 gallons of water each minute. On a graph of (minutes, gallons), what is the point for 8 minutes? Give the gallons.

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.
    Flour (cups)315Cookies36??÷ ?÷ ?× ?× ?
    Go to 1 first, then scale up.

    A cookie recipe is graphed as (cups of flour, cookies). The graph passes through (3, 36). How many cookies does 5 cups of flour make?

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.
    Time (months)13412Plan A ($)?45??Plan B ($)??56?
    Find each plan's 1-month cost first.

    Two phone plans are graphed as (months, total cost). Each plan costs the same every month, with no fee. Plan A passes through (3, 45). Plan B passes through (4, 56). After 12 months, how much more does Plan A cost?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    Football tickets cost $45 each. What is the total cost of 3 tickets?

    1. A$45
    2. B$48
    3. C$90
    4. D$135
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    Which ordered pair belongs on the ticket graph for 2 tickets?

    1. A(2, 90)
    2. B(2, 45)
    3. C(2, 47)
    4. D(90, 2)
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    On the ticket graph, what should the two axes be labeled?

    1. ANumber of tickets and price of one ticket
    2. BNumber of tickets and total cost
    3. CTotal cost and $45
    4. DNumber of games and number of tickets
    Show your work
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