Is it proportional?

Grade 7 Math Worksheet

Circle the best answer.

1. Read this first

   Use the table

   hours	cups
   2	5
   4	10
   6	15

2. 1.

   Ren's leaky faucet drips into a bowl, one plink at a time. The table shows hours and cups. Is it proportional, and why?

   • Yes: every row has 5/2 cups for 1 hour
   • No: hours and cups are different numbers
   • No: cups go up by 5 each time, but hours go up by 2
3. 2.

   Zee waters a plant and measures it at the start of each week. The table shows weeks and inches. Is it proportional, and why?

   • Yes: inches go up by 2 every time weeks go up by 2
   • No: weeks and inches are different numbers
   • No: inches for 1 week is 5/2 in row one but 7/4 in row two
4. 3.

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

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

   Pia sticks stickers on gift tags for a party. The table shows tags and stickers. Is it proportional, and why?

   • Yes: rows one and two both have 3/2 stickers for 1 tag
   • Yes: tags and stickers both get bigger
   • No: row three has 5/3 stickers for 1 tag, not 3/2
6. 5.

   Bo mixes orange paint from red and yellow drops. The table shows drops of red and drops of yellow. Is it proportional, and why?

   • No: drops of red and drops of yellow are different numbers
   • No: drops of yellow go up by 2 each time, but drops of red go up by 5
   • Yes: every row has 2/5 drop of yellow for 1 drop of red
7. 6.

   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?

   • Yes: it is a straight line through (0, 0)
   • No: the line is not flat, so the amounts keep changing
   • No: it does not go through (1, 1)
8. 7.

   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: the line does not go through (0, 0)
   • Yes: it is a straight line
   • No: it does not go through (1, 1), so the points are not in a line
9. 8.

   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: the line is not flat, so it cannot be a rate
   • No: it does not go through (1, 1)
10. 9.

    Luz is 7 when Ren is 4, and 10 when Ren is 7. Let x be Luz's age and y be Ren's age. Is it proportional, and why?

    • No: their ages are different numbers
    • No: the gap stays 3, but the amount for 1 changes
    • Yes: always 3 years younger
11. 10.

    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?

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