How much for 1? (constant of proportionality)

Answer Key - Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Kira's hose fills a 5-gallon bucket in 1/2 minute, which is 10 gallons per minute. How many minutes does 1 gallon take?

   1/10
2. 2.

   Luz uses 3/4 cup of sugar for 2 pitchers of lemonade, which is 3/8 cup per pitcher. How many pitchers go with 1 cup of sugar?

   2 2/3
3. 3.

   Pia paints a garden fence: 1/6 gallon covers 5/6 of it, which is 5 fences per gallon. How many gallons does 1 whole fence need?

   1/5

4. Read this first

   Use the table

   hours	miles
   1/2	5
   2	20
   3	30

5. 4.

   Noah logs a long bike-trail day at a steady speed. The table shows hours and miles. What is the constant of proportionality, in miles per hour?

   10
6. 5.

   Light snow dusts Bo's snowman at a steady rate. The graph shows hours and inches of snow. What is the constant of proportionality, in inches per hour?

   1/3
7. 6.

   A blizzard buries Milo's snowman up to its scarf. The rule x = 4y ÷ 7 gives the hours x for y inches of snow. How many inches fall in 1 hour?

   1 3/4
8. 7.

   Kira's school bus takes the highway to a field trip. The rule x = 10y ÷ 9 gives the minutes x for y miles. How many miles go with 1 minute?

   9/10
9. 8.

   Tala jogs 5/6 mile in 1/8 hour, racing the ice cream truck's song. What is the constant of proportionality, in miles per hour?

   6 2/3
10. 9.

    Pia walks 2/5 mile in 1/8 hour around the park while counting dogs. What is the constant of proportionality, in miles per hour?

    3 1/5
11. 10.

    Esme catches a slow roof drip in a bucket after a storm. The double number line shows hours and cups of water. What is the constant of proportionality, in cups per hour?

    8/9