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.

   Tala's walking club goes 3/4 mile in 1/4 hour, which is 3 miles per hour. How many hours does 1 mile take?

   1/3

2. Read this first

   Use the table

   hours	miles
   1/3	20
   2	120
   3	180

3. 2.

   Esme's bus to summer camp drives at a steady highway speed. The table shows hours and miles. What is the constant of proportionality, in miles per hour?

   60
4. 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
5. 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
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.

   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
8. 7.

   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
9. 8.

   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
10. 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
11. 10.

    Noah power-walks a charity loop at a steady pace. The double number line shows hours and miles. What is the constant of proportionality, in miles per hour?

    4 4/5