Two changing quantities: tables, graphs, equations
Grade 6 Math Worksheet

Circle the best answer, or write your answer on the line.
Table. l (liters): 8, 16, 24. m (minutes): 1, 2, 3. Tala's tub gets 8 more liters each minute. What equation for l fits?
Table. m (minutes): 3, 6, 9. w (words): 120, 240, 360. Esme types 40 more words each minute. What equation for w fits?
Table. t (hours): 2, 4, 6. d (miles): 110, 220, 330. Jun rides in a car at a steady speed. What is d when t is 5?
Table. c (crayons): 120, 240, 360. b (boxes): 5, 10, 15. Every box Luz opens has the same number of crayons. What is c when b is 8?
Table. m (mangoes): 12, 24, 36. t (trays): 1, 2, 3. Every tray Pia packs holds the same number of mangoes. The table shows mangoes m and trays t. Which is the dependent variable?
- t (trays)
- m (mangoes)
- Both: neither one depends on the other
Table. w (words): 40, 80, 120. m (minutes): 1, 2, 3. Ren types at a steady speed, and the words are graphed from the table. Which variable goes on the horizontal axis?
- m (minutes), the independent variable
- w (words), the dependent variable
- Either one: it does not matter
Table. b (boxes): 1, 2, 3. c (crayons): 24, 48, 72. Every box Tala opens has the same number of crayons, and the crayons are graphed from the table. Which variable goes on the horizontal axis?
- c (crayons), the dependent variable
- Either one: it does not matter
- b (boxes), the independent variable
Zee's car trip is graphed. Miles d are on the vertical axis and hours t are on the horizontal axis. What does the plotted point say?
- d = 150 for each hour
- t = 150 and d = 3
- t = 3 and d = 150
Ari's reading is graphed. Hours h are on the horizontal axis and pages p are on the vertical axis. What does the plotted point say?
Graph. Horizontal axis: h (hours), ticks every 1, from 0 to 6. Vertical axis: p (pages), ticks every 10, from 0 to 200. One point is plotted at (4, 120). Graph. Horizontal axis: h (hours), ticks every 1, from 0 to 6. Vertical axis: p (pages), ticks every 10, from 0 to 200. One point is plotted at (4, 120). 0 1 2 3 4 5 6 0 20 40 60 80 100 120 140 160 180 200 h (hours) p (pages) - p = 120 for each hour
- h = 120 and p = 4
- h = 4 and p = 120
Table. m (Milo's age in years): 6, 7, 8. c (the cousin's age in years): 3, 4, 5. Milo's age and the age of Milo's cousin are shown in the table. What equation for m fits?