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 (hours): 2, 4, 6. d (miles): 90, 180, 270. Zee rides a bus at a steady speed. What equation for d fits?

   d = 45t
3. 3.

   Table. p (pages): 35, 70, 105. m (minutes): 5, 10, 15. Bo's printer prints at a steady rate. What equation for p fits?

   p = 7m
4. 4.

   Table. m (minutes): 3, 6, 9. w (words): 120, 240, 360. Esme types 40 more words each minute. What equation for w fits?

   w = 40m
5. 5.

   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
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
   • b (boxes), the independent variable
   • c (crayons), the dependent 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 = 150 and d = 3
   • t = 3 and d = 150
   • 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. 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
10. 10.

    Table. b (Bo's age in years): 3, 4, 5. a (Ari's age in years): 12, 13, 14. Ari's and Bo's ages are shown in the table. What equation for a fits?

    a = b + 9