CFA Proportional Relationships

Which statement is the correct unit rate?

• 5 seconds per foot

• 5 feet per second

• 2.5 seconds per foot

• 2.5 feet per second

Which graph is proportional?

• Graph A

• Graph B

Does the table show a proportional relationship? If so, what is the constant of proportionality?

• Yes

• No, 0

Which table shows a proportional relationship between the number of hours worked and the amount of money earned?

• Table A

• Table B

• Table C

• Table D

A graph is proportional if it is a __________ line and goes through the __________.

• Curved, midpoint

• Curved, origin

• Straight, midpoint

• Straight, endpoint

• Straight, origin

An equation is __________ when it is in the form __________.

• Proportional, y = mx + b

• Linear, y = mx

• Exponential, y = a^x

• Linear, y = kx + b

• Proportional, y = kx

A store sells pens for $3 each. In the proportional relationship between x, the number of pens purchased, and y, the total cost of the pens in dollars, the constant of proportionality is 3. Which equation shows the relationship between x and y?

• y = 3x

• y = x + 3

• y = 3x + 3

• y = 3/x

Maxwell buys postcards from his favorite souvenir shop. Maxwell buys 3 postcards for $1.35. The cost in dollars and the number of postcards represent a proportional relationship. Write an equation to represent this relationship.

• y = 0.45x

• y = 1.35x

• y = 3x

• y = x + 1.35

Six cell phones weigh 46.2 ounces. Fourteen cell phones weigh 107.8 ounces. This is a proportional situation. What is the constant of proportionality?

• 7

• 6.7

• 7.7

• 7.6

Kenny bought a 50-pound bag of chicken feed for $29.98 and a 25-pound bag for $15.49. Can you use proportional reasoning to find the price of a 40-pound bag?

• 
  
  Yes, the ratio of $29.98 to $15.49 is the same as the ratio of 50:25.

• Yes, the ratio of $29.98: 50 is the same as the ratio of $15.49:25.

• 
  No, because there is a constant of proportionality.

• 
  
  No, because there is no constant of proportionality.