How much for 1? (constant of proportionality)
Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
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?
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?
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Use the table
hours miles 1/2 5 2 20 3 30 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?
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?
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?
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?
Graph: hours across from 0 to 1, ticks every 1/4; inches of snow up from 0 to 1, ticks every 1/4. A straight line starts at (0, 0) and goes through the marked point (3/4, 1/4). Graph: hours across from 0 to 1, ticks every 1/4; inches of snow up from 0 to 1, ticks every 1/4. A straight line starts at (0, 0) and goes through the marked point (3/4, 1/4). 0 1/4 1/2 3/4 1 0 1/4 1/2 3/4 1 hours inches of snow 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?
Graph: minutes across from 0 to 1, ticks every 1/3; gallons up from 0 to 10, ticks every 1. A straight line starts at (0, 0) and goes through the marked point (2/3, 6). Graph: minutes across from 0 to 1, ticks every 1/3; gallons up from 0 to 10, ticks every 1. A straight line starts at (0, 0) and goes through the marked point (2/3, 6). 0 1/3 2/3 1 0 1 2 3 4 5 6 7 8 9 10 minutes gallons 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?
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?
Double number line: hours on top from 0 to 1, ticks every 1/4; cups of water below. The top tick 3/4 lines up with 2/3 below. Under the top 1 is a ?. Double number line: hours on top from 0 to 1, ticks every 1/4; cups of water below. The top tick 3/4 lines up with 2/3 below. Under the top 1 is a ?. Double number line hours cups of water 0 1/4 1/2 3/4 1 2/3 ? 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?
Double number line: hours on top from 0 to 1, ticks every 1/5; miles below. The top tick 4/5 lines up with 12 below. Under the top 1 is a ?. Double number line: hours on top from 0 to 1, ticks every 1/5; miles below. The top tick 4/5 lines up with 12 below. Under the top 1 is a ?. hours 0 1/5 2/5 3/5 4/5 1 miles 12 ?

