Is it proportional?

Grade 7 Math Worksheet - Challenge Me

Circle the best answer.

1. Read this first

   Use this

   Three tables (minutes | pages). Table A: 1 | 4; 2 | 8; 3 | 13. Table B: 2 | 7; 4 | 9; 6 | 11. Table C: 3 | 12; 6 | 24; 9 | 36.

2. 1.

   Esme checks three printers. Each table shows minutes and pages. Which table is proportional?

   • Table A
   • Table B
   • Table C
3. 2.

   Bo's sunflower seedling was already tall when the measuring began. The graph shows days and inches, but only part of the graph. Is it proportional, and why?

   • Yes: both points have y bigger than x
   • No: the amount for 1 is 5/2 at one point and 3/2 at the other
   • Yes: it is a straight line
4. 3.

   Jun's hose fills a tub at a steady rate. The graph shows minutes and gallons, but only part of the graph. Is it proportional, and why?

   • Yes: both points have 3/2 gallons for 1 minute, so the line runs through (0, 0)
   • No: the two points have different x and y
   • No: the line is not shown going through (0, 0)
5. 4.

   Milo rolls a ball down a ramp and marks where it is each second. The graph shows seconds and feet. Is it proportional, and why?

   • No: it goes up too fast
   • No: not a straight line (2 feet for 1 second at one point, 4 at another)
   • Yes: it goes through (0, 0), and starting there is enough to make it proportional
6. 5.

   Pia slides a sled down a snowy hill that gets steeper. The graph shows seconds and feet. Is it proportional, and why?

   • No: it goes up too fast
   • No: not a straight line (3 feet for 1 second at one point, 6 at another)
   • Yes: it goes through (0, 0)

7. Use the table

   cups of lemon juice	cups of water
   1/2	3/4
   1	3/2
   3/2	9/4

8. 6.

   Zee mixes lemonade in a big jug, and one lemon rolls away. The table shows cups of lemon juice and cups of water. Is it proportional, and why?

   • No: cups of lemon juice and cups of water are different numbers
   • Yes: every row has 3/2 cups of water for 1 cup of lemon juice
   • No: cups of water go up by 3/4 each time, but cups of lemon juice go up by 1/2
9. 7.

   Noah tests a shortbread recipe, one very crumbly batch at a time. The table shows cups of flour and cups of butter. Is it proportional, and why?

   • No: cups of flour and cups of butter are different numbers
   • No: cups of butter go up by 1/6 each time, but cups of flour go up by 1/4
   • Yes: every row has 2/3 cup of butter for 1 cup of flour
10. 8.

    Kira's bucket already has some water in it when a faucet starts to drip. The table shows hours and gallons. Is it proportional, and why?

    • No: gallons for 1 hour is 5/2 in row one but 7/4 in row two
    • No: hours and gallons are different numbers
    • Yes: gallons go up by 1/2 every time hours go up by 1/2, so it is proportional
11. 9.

    Ren stirs oatmeal for a hiking trip, and the last batch gets extra. The table shows cups of oats and cups of milk. Is it proportional, and why?

    • Yes: rows one and two both have 1/2 cup of milk for 1 cup of oats
    • Yes: cups of oats and cups of milk both get bigger
    • No: row three has 2/3 cup of milk for 1 cup of oats, not 1/2
12. 10.

    Bo walks a loop and hits a hill at the end. The table shows hours and miles. Is it proportional, and why?

    • Yes: rows one and two both have 3 miles for 1 hour
    • Yes: hours and miles both get bigger
    • No: row three has 5/2 miles for 1 hour, not 3