Is it proportional?

Grade 7 Math Worksheet - Challenge Me

Circle the best answer.

1. Read this first

   Use this

   Three tables (hours | miles). Table A: 1 | 5; 2 | 8; 3 | 11. Table B: 2 | 6; 5 | 15; 8 | 24. Table C: 2 | 10; 4 | 20; 6 | 26.

2. 1.

   Tala tests three walking routes. Each table shows hours and miles. Which table is proportional?

   • Table B
   • Table C
   • Table A

3. Use this

   Three tables (days | inches). Table A: 4 | 6; 6 | 9; 10 | 15. Table B: 2 | 3; 4 | 6; 8 | 13. Table C: 2 | 3; 4 | 5; 6 | 7.

4. 2.

   Kira measures three plants. Each table shows days and inches. Which table is proportional?

   • Table B
   • Table A
   • Table C
5. 3.

   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?

   • No: the amount for 1 is 5/2 at one point and 3/2 at the other
   • Yes: both points have y bigger than x
   • Yes: it is a straight line
6. 4.

   Luz hikes a trail that starts away from the gate. The graph shows hours and miles, but only part of the graph. Is it proportional, and why?

   • Yes: both points have y bigger than x
   • Yes: it is a straight line
   • No: the amount for 1 is 3 at one point and 12/5 at the other
7. 5.

   Snow falls steadily on Ren's porch. The graph shows hours and inches, but only part of the graph. Is it proportional, and why?

   • No: the line is not shown going through (0, 0)
   • Yes: both points have 3/4 inch for 1 hour, so the line runs through (0, 0)
   • No: the two points have different x and y
8. 6.

   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)

9. Use the table

   cups of flour	cups of butter
   1/4	1/6
   1/2	1/3
   3/4	1/2

10. 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
    • Yes: every row has 2/3 cup of butter for 1 cup of flour
    • No: cups of butter go up by 1/6 each time, but cups of flour go up by 1/4
11. 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
12. 9.

    Ari hikes a trail that begins 1/2 mile past a ranger hut. The table shows hours and miles from the hut. Is it proportional, and why?

    • No: hours and miles are different numbers
    • Yes: miles go up by 1/6 every time hours go up by 1/4, so it is proportional
    • No: miles for 1 hour is 8/3 in row one but 5/3 in row two
13. 10.

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

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