Two changing quantities: tables, graphs, equations

Answer Key - Grade 6 Math Worksheet - Building Confidence

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

1. 1.

   Table. m (minutes): 1, 2, 3. l (liters): 4, 8, 12. Esme's bucket gets 4 more liters each minute. Each row is m equal bars of the same size. What equation for l fits?

   l = 4m
2. 2.

   Table. w (words): 20, 40, 60. m (minutes): 1, 2, 3. Jun types at a steady speed. Each row is m equal bars of the same size. What equation for w fits?

   w = 20m
3. 3.

   Table. t (hours): 2, 4, 6. d (miles): 6, 12, 18. Kira hikes and walks 3 more miles each hour. Each row is t equal bars of the same size. What equation for d fits?

   d = 3t
4. 4.

   Table. m (minutes): 3, 6, 9. l (liters): 18, 36, 54. Pia's garden hose runs at a steady rate. Each row is m equal bars of the same size. What equation for l fits?

   l = 6m
5. 5.

   Table. t (hours): 1, 2, 3. d (miles): 5, 10, 15. Ren jogs at a steady speed. Each row is t equal bars of the same size. What is d when t is 4?

   20
6. 6.

   Table. s (Esme's blocks): 5, 6, 7. a (Ari's blocks): 1, 2, 3. Ari and Esme each build a tower of blocks. In every row, s is a bar for a with one extra piece added on. What equation for s fits?

   s = a + 4
7. 7.

   Table. d (miles): 35, 70, 105. t (hours): 1, 2, 3. Jun rides a bus at a steady speed. The table shows miles d and hours t. Which is the independent variable? (The independent variable is the one we choose. The other one depends on it.)

   • t (hours)
   • Both: neither one depends on the other
   • d (miles)
8. 8.

   Table. p (pages): 1, 2, 3. s (stickers): 6, 12, 18. Kira's sticker pages hold equal stickers. The table shows pages p and stickers s. Which is the dependent variable? (The independent variable is the one we choose. The other one depends on it.)

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

   Milo's run is graphed. Miles d are on the vertical axis and hours t are on the horizontal axis. What does the plotted point say? (A point is written (across, up).)

   • t = 4 and d = 20
   • t = 20 and d = 4
   • d = 20 for each hour
10. 10.

    Noah's printer pages are graphed. Minutes m are on the horizontal axis and pages p are on the vertical axis. What does the plotted point say? (A point is written (across, up).)

    • m = 40 and p = 4
    • p = 40 for each minute
    • m = 4 and p = 40