Is it proportional?

Grade 7 Math Worksheet - Building Confidence

Circle the best answer.

1. Read this first

   Use the table

   minutes	gallons	gallons for 1 minute
   2	6	3
   4	12	3
   6	18	3

2. 1.

   Zee's garden hose fills a bucket at a steady rate, and a duck stands very close. The table shows minutes, gallons, and gallons for 1 minute. Is it proportional, and why?

   • No: gallons go up by 6 each time, but minutes go up by 2
   • Yes: every row has 3 gallons for 1 minute
   • No: minutes and gallons are different numbers
3. 2.

   Milo bakes bread in batches, with a flour cloud on the counter. The table shows batches and cups of flour. Is it proportional, and why?

   • No: row three has 13/3 cups of flour for 1 batch, not 4
   • Yes: rows one and two both have 4 cups of flour for 1 batch
   • Yes: batches and cups of flour both get bigger
4. 3.

   Pia times a garden snail that is in no rush. The table shows minutes and feet. Is it proportional, and why?

   • No: feet go up by 2 each time, but minutes go up by 3
   • Yes: every row has 2/3 foot for 1 minute
   • No: minutes and feet are different numbers
5. 4.

   Ari packs apples into bags for the school fair. The table shows bags and apples. Is it proportional, and why?

   • No: bags and apples are different numbers
   • No: bags go up by 1, then by 4
   • Yes: every row has 5 apples for 1 bag
6. 5.

   Esme's bathtub fills at a steady rate, with one rubber duck on watch. The graph shows minutes and gallons. Is it proportional, and why?

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

   Tala's bean plant is already sprouting when the measuring starts. The graph shows days and inches. 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 line is not straight
8. 7.

   Noah hikes a trail that begins at a campsite. The graph shows hours and miles from the gate. 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)
9. 8.

   There are already 2 inches of snow when Milo starts, and 3 more inches fall every hour. Is the snow depth proportional to the time, and why?

   • No: the numbers are different
   • No: at 0 hours there are already 2 inches
   • Yes: it grows by 3 inches every hour
10. 9.

    Bo's lemonade uses 4 cups of water with every lemon. Is the water proportional to the lemons, and why?

    • No: cups and lemons are different things
    • Yes: 4 cups of water for each lemon, every time
    • No: it needs a starting amount
11. 10.

    Luz's bookmark is on page 20, and Luz reads 2 pages a minute. Is the page number proportional to the minutes, and why?

    • No: reading is not a rate
    • No: at 0 minutes the page number is already 20
    • Yes: it grows by 2 pages every minute