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

Lesson 9.29.2 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can use a table and a graph to determine and analyze the relationship between two variable quantities, explain what each part stands for, and build one for a situation I have not seen before.

Remember9.2 Small Group · Group 2

One point and a constant rate tell you the whole graph, as long as you keep the independent variable first. You can read one point on a graph, find the rate, and then find new points.

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.
    Time (months)518Total cost ($)30??÷ ?÷ ?× ?× ?
    Go to 1 first, then scale up.

    A phone plan graph shows (months, total dollars). It passes through the point (5, 30). The cost is the same each month. What is the total cost for 8 months?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Time (minutes)5112Water (gallons)35??÷ ?÷ ?× ?× ?
    Go to 1 first, then scale up.

    A graph of (minutes, gallons) passes through (5, 35). The rate stays the same. What is the point for 12 minutes? Give the gallons.

    Show your work
    Final answer:
  3. 3Complete 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:
  4. 4Complete 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:

Explain your thinkingTram B's line is steeper than Tram A's line. What does a steeper line tell you about a relationship?

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help