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. l (liters): 8, 16, 24. m (minutes): 1, 2, 3. Tala's tub gets 8 more liters each minute. What equation for l fits?

   l = 8m
3. 3.

   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
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 (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?

   275
6. 6.

   Table. m (minutes): 1, 2, 3. l (liters): 8, 16, 24. Noah's circle fills a tub at a steady rate. The table shows minutes m and liters l. Which is the independent variable?

   • l (liters)
   • Both: neither one depends on the other
   • m (minutes)
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?

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

   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
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