Is it proportional?

Grade 7 Math Worksheet

Circle the best answer.

1. Read this first

   Use the table

   hours	gallons
   2	8
   5	20
   6	24

2. 1.

   Jun's rain barrel fills during a storm. The table shows hours and gallons. Is it proportional, and why?

   • No: hours and gallons are different numbers
   • No: hours go up by 3, then by 1
   • Yes: every row has 4 gallons for 1 hour
3. 2.

   Esme starts a long book part-way through. The table shows minutes and the page number Esme is on. Is it proportional, and why?

   • No: pages for 1 minute is 8/3 in row one but 11/6 in row two
   • No: minutes and pages are different numbers
   • Yes: pages go up by 3 every time minutes go up by 3
4. 3.

   Tala packs craft kits with beads, and one kit sparkles extra. The table shows kits and beads. Is it proportional, and why?

   • Yes: rows one and two both have 4 beads for 1 kit
   • Yes: kits and beads both get bigger
   • No: row three has 40/9 beads for 1 kit, not 4
5. 4.

   Snow falls outside Kira's window at a steady rate, and the sled is waiting. The graph shows hours and inches of snow. Is it proportional, and why?

   • No: it does not go through (1, 1)
   • Yes: it is a straight line through (0, 0)
   • No: the line is not flat, so the amounts keep changing
6. 5.

   Noah's sunflower was already tall when Noah began to measure it. The graph shows weeks and inches. Is it proportional, and why?

   • No: the line does not go through (0, 0)
   • Yes: it is a straight line
   • No: it does not go through (1, 1), so the line is not steady
7. 6.

   Ari hikes a path that begins 5 miles past a lighthouse. The graph shows hours and miles from the lighthouse. Is it proportional, and why?

   • No: it does not go through (1, 1), so the points are not in a line
   • Yes: it is a straight line
   • No: the line does not go through (0, 0)
8. 7.

   Milo's garden circle fills a watering can at a steady rate. The graph shows minutes and gallons. Is it proportional, and why?

   • Yes: it is a straight line through (0, 0)
   • No: it does not go through (1, 1)
   • No: the line is not flat, so it cannot be a rate
9. 8.

   Jun is 6 when Pia is 10, and 8 when Pia is 12. Let x be Jun's age and y be Pia's age. Is it proportional, and why?

   • No: older people grow slower
   • No: the gap stays 4, but the amount for 1 changes
   • Yes: always 4 years older
10. 9.

    Noah's plant is 4 inches tall on day 0 and grows 1 inch every day. Is its height proportional to the days, and why?

    • Yes: it grows 1 inch every day
    • No: plants grow too slowly
    • No: at 0 days the plant is already 4 inches
11. 10.

    Jun's class printer prints 12 pages every 2 minutes, then hums happily. Are the pages proportional to the minutes, and why?

    • No: pages and minutes are different things
    • Yes: 6 pages for each minute, every time
    • No: it needs a starting amount