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. 3.

   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
4. 4.

   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
5. 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
6. 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
7. 7.

   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. 8.

   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. 9.

   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
10. 10.

    Bo trains for a bike race on a flat road. The double number line shows hours and miles. What is the constant of proportionality, in miles per hour?

    15