COP of Tables
COP of Graphs
COP of Equations
COP of Verbal Descriptions
100
Water leaks through a roof and collects in a bucket. The table shows how many cups of water collects in the bucket for different numbers of hours. What is the constant of proportionality for cups of water to hours?
COP = 3
100
What does the point (4,6) mean on the graph?
You will need 4 yards of string to make 6 bracelets.
To make 6 bracelets you need 4 yards of string
100
Mr. P writes the equation below on the board. What is the constant of proportionality?
k = 3.5
100
A student charges $31.50 for 3 hours of babysitting, If the amount the student earns babysitting is proportional to the hours spent babysitting, write an equation (y = kx) to model the amount of dollars, y, the student earns for x hours of babysitting?
y = 10.5x
200
Which of the tables represent a proportional relationship?
Table 2
200
The point (6,9) can be represented by what ratio?
9:6
200
Mr. Allen writes the following equation on the board. What is the constant of proportionality in the equation?
k = 6.7
200
Carl makes $18.50 for every two hours of work. What is the constant of proportionality per hour?
$9.25
300
Which statement can be made about the relationship between the number of hot dogs and the total cost?
A) The relationship is proportional because the number of hotdogs listed in the table is not increasing by a constant amount.
B) The relationship is not proportional because the prices listed in the table are not increasing at a constant amount.
C) The relationship is proportional because the number of hotdogs is multiplied by 3 each time to determine the cost.
D) The relationship is proportional because the total prices are even each time, no matter how many hot dogs are purchased.
C
300
Choose the graph(s) that represent a proportional relationship.
B and C
300
Mr. Lopez teaches his classes to make maraca instruments by filling plastic eggshells with dried beans. Mr. Lopez uses the equation below to find the number of pounds, p, of beans needed for n classes. What is the constant of proportionality?
p =3/4n
k = 3/4
300
The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 6 cups of strawberries per 1/3 cup of sugar. What is the constant of proportionality of cups of strawberries to cups of sugar?
18 cups of strawberries per cup of sugar.
400
The table of values represents a proportional relationship. What is the constant of proportionality?
3/2 or 1.5
400
The graph shows the price, in dollars, of various amounts of salmon filets purchased. Based on the graph, write an equation that shows the relationship between the price, in dollars, p, and the number of salmon filets, s, purchased?
p = 10s
400
The cost of 3 cups of strawberries is $6. Write an equation to show the relationship between the cost, c, and the cups of strawberries, s.
c = 2s
400
At the Green House of Salad, you get a $5 coupon for every 15 salads you buy. What is the least number of salads you could buy to get $25 in coupons?
75 salads
500
The table shows the number of lawn chairs made by a machine for different times the machine is running. What is the constant of proportionality?
1/5
500
In the forest, a tortoise, a hare, and a slug decide to compete in a 10-mile race. The distances traveled throughout the race are plotted on the graph for each animal. Which animal's graph shows a proportional relationship?
Tortoise
500
Brenda is training for a marathon and is keeping track of her miles ran and her total time. Her data is shown in the table. Which equation can be used to find how long it would take Brenda to run 5 miles?
A) t = 9 + 5 C) t = 9 - 5
B) t = 9 x 5 D) t = 9 ÷ 5
B
500
At a certain bookstore, you get a $5 coupon for every 4 books you buy. What is the least number of books you could buy to get $15 in coupons?
12 books