Two changing quantities: tables, graphs, equations

Answer Key - Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Table. m (minutes): 2, 4, 6. l (liters): 12, 24, 36. Bo's circle fills a tub at a steady rate. The tub now holds 60 liters. For how many minutes has the circle run?

   10
2. 2.

   Table. m (magnets): 40, 80, 120. b (boxes): 4, 8, 12. Every box Kira opens has the same number of magnets. The science room has 200 magnets. How many boxes is that?

   20
3. 3.

   Table. t (hours): 2, 4, 6. d (miles): 7, 14, 21. Milo walks and covers 3.5 more miles each hour. What equation for d fits?

   d = 3.5t
4. 4.

   Pia jogs and covers 4.5 more miles each hour, and the trip is graphed. What equation for d fits?

   d = 4.5t
5. 5.

   Table. s (Esme's age in years): 2, 5, 9. n (Noah's age in years): 6, 9, 13. Noah's and Esme's ages are shown at three birthdays. What equation for n fits?

   n = s + 4
6. 6.

   Table. k (Kira's meters): 5, 8, 12. t (Tala's meters): 10, 13, 17. Tala starts 5 m ahead of Kira on a path, and the table shows where each stands. What equation for t fits?

   t = k + 5
7. 7.

   Table. m (magnets): 18, 36, 54. b (boxes): 1, 2, 3. Every box Tala opens has the same number of magnets. The table shows magnets m and boxes b. Which is the independent variable?

   • Both: neither one depends on the other
   • m (magnets)
   • b (boxes)
8. 8.

   Table. s (stickers): 25, 50, 75. p (pages): 1, 2, 3. Zee's sticker pad has the same number of stickers on every page. The table shows stickers s and pages p. Which is the dependent variable?

   • p (pages)
   • Both: neither one depends on the other
   • s (stickers)
9. 9.

   Table. c (crayons): 16, 32, 48. b (boxes): 1, 2, 3. Esme's crayons in boxes are graphed from the table. Which variable goes on the horizontal axis?

   • Either one: it does not matter
   • b (boxes), the independent variable
   • c (crayons), the dependent variable
10. 10.

    Table. t (days): 1, 2, 3. h (millimeters): 3, 6, 9. Jun's seedling grows the same amount each day, and the growth is graphed from the table. Which variable goes on the horizontal axis?

    • h (millimeters), the dependent variable
    • Either one: it does not matter
    • t (days), the independent variable