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. p (pages): 60, 120, 180. m (minutes): 5, 10, 15. Esme's printer prints at a steady rate. It has printed 360 pages. For how many minutes has it printed?

   30
2. 2.

   Table. m (minutes): 3, 6, 9. l (liters): 12, 24, 36. Luz's fountain pumps water at a steady rate. It has pumped 84 liters. For how many minutes has it run?

   21
3. 3.

   Table. c (centimeters of rain): 3, 6, 9. h (hours): 2, 4, 6. Rain fills Noah's rain gauge at a steady rate. What equation for c fits?

   c = 1.5h
4. 4.

   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
5. 5.

   Table. b (Bo's pages): 4, 7, 11. a (Ari's pages): 16, 19, 23. Ari and Bo each read some pages on three days. What equation for a fits?

   a = b + 12
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?

   • m (magnets)
   • Both: neither one depends on the other
   • 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?

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

   Bo's rain gauge is graphed. Hours h are on the horizontal axis and centimeters of rain c are on the vertical axis. What does the plotted point say?

   • h = 6 and c = 4
   • h = 4 and c = 6
   • c = 6 for each hour
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