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

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

   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
   • No: row three has 5/3 stickers for 1 tag, not 3/2
   • Yes: tags and stickers both get bigger
5. 4.

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

   • Yes: every row has 2/5 drop of yellow for 1 drop of red
   • 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
6. 5.

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

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

   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?

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

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

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

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