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

Lesson 9.39.3 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 write an equation from a table or a graph to model the relationship between the dependent and independent variables, explain what each part stands for, and build one for a situation I have not seen before.

Remember9.3 Small Group · Group 2

Find the rate from how much each unit adds, then test the equation on more than one row before you trust it. Some tables do not start at zero. Then the equation needs a starting amount added to the rate.

Words: equation (ecuación)variable (variable)rate (tasa)represent (representar)define the variables (definir las variables)

  1. 1Complete each step, then write the final answer.

    A taxi charges $5 for 1 mile, $7 for 2 miles and $9 for 3 miles. Let m = miles and c = total cost. Write an equation. Then find the cost of a 10-mile ride.

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    A skating rink charges $9 for 1 hour, $13 for 2 hours and $17 for 3 hours. Let h = hours and c = total cost. Complete the equation: c = 4h + ___.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    A plant is 4 cm tall when it is planted. It grows 3 cm each week. Let w = weeks and p = height in cm. Write an equation. How tall is the plant after 6 weeks?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    A boat rental has a fixed fee plus a cost per hour. 2 hours cost $31 and 5 hours cost $61. Let h = hours and c = total cost. Write the equation. What is the fixed fee?

    Show your work
    Final answer:

Explain your thinkingHow can you tell from a table whether the equation is c = rate × h or c = rate × h + fee? Use one row to prove it.

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