Two changing quantities: tables, graphs, equations

Answer Key - Grade 6 Math Worksheet

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

1. 1.

   Table. t (hours): 1, 2, 3. d (miles): 65, 130, 195. Ren rides in a car at a steady speed. What equation for d fits?

   d = 65t
2. 2.

   Table. t (days): 4, 8, 12. h (millimeters): 28, 56, 84. Kira's bean plant grows the same amount each day. What is h when t is 10?

   70
3. 3.

   Table. t (trays): 1, 2, 3. m (mangoes): 12, 24, 36. Every tray Milo packs holds the same number of mangoes. What is m when t is 6?

   72
4. 4.

   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?

   • Both: neither one depends on the other
   • m (mangoes)
   • t (trays)
5. 5.

   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?

   • w (words), the dependent variable
   • m (minutes), the independent variable
   • Either one: it does not matter
6. 6.

   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?

   • Either one: it does not matter
   • c (crayons), the dependent variable
   • b (boxes), the independent variable
7. 7.

   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?

   • t = 3 and d = 150
   • t = 150 and d = 3
   • d = 150 for each hour
8. 8.

   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?

   • p = 120 for each hour
   • h = 4 and p = 120
   • h = 120 and p = 4
9. 9.

   Table. z (Zee's buttons): 2, 3, 4. l (Luz's buttons): 8, 9, 10. Luz and Zee collect buttons. Luz always has the same number more than Zee. What equation for l fits?

   l = z + 6
10. 10.

    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?

    m = c + 3