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.

   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

3. Read this first

   Use the table

   minutes	pages
   1/4	7
   3/4	21
   2	56

4. 3.

   Jun's school printer runs at a steady speed and hums a little tune. The table shows minutes and pages. What is the constant of proportionality, in pages per minute?

   28
5. 4.

   Zee rides in a kids' bike race at a steady speed. The graph shows hours and miles. What is the constant of proportionality, in miles per hour?

   16
6. 5.

   Ari fills watering cans from a garden circle for the class garden. The graph shows minutes and gallons. What is the constant of proportionality, in gallons per minute?

   9
7. 6.

   Ren's butter cookie rule is x = 8y ÷ 5, where x is cups of flour and y is cups of butter. How many cups of butter go with 1 cup of flour?

   5/8
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.

    Luz sets a cup under a slow drip in the art room. It catches 1/3 cup of water in 3/4 hour. What is the constant of proportionality, in cups per hour?

    4/9
11. 10.

    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