Constant of Proportionality Study Guide

Determine whether the rates are proportional, if so, what is the constant of proportionality?

• Not Proportional

• Proportional, k=9

• Proportional, k=3

• Proportional, k=18

Which of the rates listed below are proportional to $30

per 5 pounds? Select all that apply.

• $6 per 1 pound

• $90 per 15 pounds

• $20 per 3 pounds

• $102 per 17 pounds

Which graph shows a proportional relationship between the values of x and y?

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Jackie’s salary is proportional to the number of hours she works. Knowing that she made $49 in 7 hours, which graph BEST models the relationship between the number of hours Jackie works and her salary?

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The table below shows the total cost for a given amount of bananas. If the cost of bananas per pound is the same, write a ratio that can be used to find the constant of proportionality.

• The cost of bananas is not proportional.

• The cost of bananas is proportional, the cost can be found using the ratio $\frac{5}{1.75}$

• The cost of bananas is proportional, the cost can be found using the ratio $\frac{1.75}{5}$

Find the constant of proportionality

• k=0.35

• k= 2.86

• k= 5

• k= 8

Which point on the graphed line identifies the constant of proportionality?

• (1,6)

• (2,12)

• (3,18)

• (4,24)

Calculate the constant of proportionality using an identified point on the graph. 

• k=90

• k=9

• k=10

• k=20

The graph represents the amount of money in a savings account over time. Which ordered pair on the graph represents the month when the account will have a balance of $622.50

• (3,186.75)

• (1,62.25)

• (12,747)

• (10,622.5)

• k=2

• k=3

• k=4

• k=5