Constant of Proportionality (Word Probs)

45

A 1,260-foot tree has grown at a constant rate each year for 28 years. What is the unit rate in the given scenario in terms of feet per year?

25

Alfred gives roping lessons at the Sundown Corral. A 4-hour lesson costs $100.00. The cost of a lesson is proportional to the duration, in hours, of the lesson. What is the constant of proportionality in terms of dollars per hour?

6

At a restaurant, the number of chairs, y, is always proportional to the number of tables, x. In one section of the restaurant, there are 54 chairs and 9 tables. What is the constant of proportionality in this relationship?

1.25

At the fall festival, the student council sold 109 drinks and collected $136.25. The total amount collected is proportional to the number of drinks sold. What is the constant of proportionality in terms of dollars per drink?

75

Caroline swam 525 meters in 7 minutes at a constant speed. The distance she swims is proportional to the time spent swimming. What is the constant of proportionality in terms of meters per minute?

33.98

On tax free weekend, Alyssa bought 4 pairs of blue jeans for $135.92. The cost of the jeans is proportional to the number of pairs of jeans bought. What is the constant of proportionality in terms of dollars per pair of jeans?

50

Steve drove at a constant rate to the beach for a vacation. It took him 7 hours to drive 350 miles. What is the unit rate in given scenario in terms of miles per hour?

8

The choir club at Draveny Middle School sold choir recital tickets. The equation shows the proportional relationship between the number of tickets sold, x, and the number of dollars earned, y. y = 8x What is the constant of proportionality in this relationship?

0.80

The cost to manufacture a water bottle is a proportional relationship. This relationship is shown in the table. Bottles Manufactured (x) Cost in Dollars (y) 0---------------- 0 25 --------------20 50 --------------40 100 -------------80 What is the constant of proportionality for the data in the table in terms of dollars per bottle?

0.43

The student council is preparing drinks to sell at a fall festival. The table shows the proportional relationship between the total cost to make the drinks and the number of drinks made. Drinks Made Total Cost 0 ---------$0.00 2 ---------$0.86 5 ----------$2.15 9 ----------$3.87 10 ---------$4.30 What is the constant of proportionality in terms of the number of dollars per drink?

83

The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. They earned $996 from selling tickets that were $12 each. How many tickets did they sell?

0.89

The table shows the proportional relationship of the cost of lettuce per pound. Pounds of Lettuce Price 0 ----------$0.00 2 ----------$1.78 4 ----------$3.56 6 ----------$5.34 10 ---------$8.90 What is the constant of proportionality in terms of the number of dollars per pound of lettuce?

57

The table shows the total miles traveled and the number of hours Mr. Rogers drove on vacation. Hours Driven Total Miles Traveled 0------------ 0 3------------ 171 4 ------------228 7 ------------399 10 ------------570 Assuming Mr. Rogers drove at a constant rate, what is the constant of proportionality in terms of miles per hour?