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?

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

   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
5. 4.

   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: rows one and two both have 4 beads for 1 kit
   • Yes: kits and beads both get bigger
6. 5.

   Luz tapes sticker sheets into a scrapbook. The table shows sheets and stickers. Is it proportional, and why?

   • No: sheets go up by 1, then by 5
   • Yes: every row has 3 stickers for 1 sheet
   • No: sheets and stickers are different numbers
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?

   • 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
8. 7.

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

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

   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
10. 9.

    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?

    • Yes: always 4 years older
    • No: older people grow slower
    • No: the gap stays 4, but the amount for 1 changes
11. 10.

    Zee's bathtub already has 6 gallons when the faucet starts, and the faucet adds 3 gallons a minute. Are the gallons proportional to the minutes, and why?

    • Yes: it adds 3 gallons every minute
    • No: gallons and minutes are different units
    • No: at 0 minutes there are already 6 gallons