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.

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

   • No: weeks and inches are different numbers
   • Yes: inches go up by 2 every time weeks go up by 2
   • 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: minutes and pages are different numbers
   • Yes: pages go up by 3 every time minutes go up by 3
   • No: pages for 1 minute is 8/3 in row one but 11/6 in row two
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.

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

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

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

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

    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
11. 10.

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

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