Constant of Proportionality Word Problems with Rational Numbers

What does k represent in the equation y = kx?

• constant rate of change

• constant of proportionality

• the equation

• x/y

The constant of proportionality can be found by finding the __________  _____________.

• unit rate

• ratio rate

• proportion answer

• rational number

Does this equation represent a proportional relationship?

• Yes

• No

Select ALL equations that are proportional.

• y = 3x

• y = 25x

• y = 7x

• y = 2x - 1

• y = 4000x

The fee to check luggage with a new airline is based on the weight of each bag. Brett paid $7.14 to check a 42-pound bag. How much will Eileen pay if her bag weighs 63 pounds?

• $10.71

• $449.82

• $409

• $107.10

Bella is making a recipe that requires a certain ratio of sugar to flour. If she uses 16 cups of flour, how many cups of sugar does she need to maintain the ratio of 60:48?

• 3

• 15

• 20

• 10

The fee to check luggage with a

new airline is based on the weight

of each bag. Brett paid $7.14 to

check a 42-pound bag. How

much will Eileen pay if her bag

weighs 63 pounds?

• $10.71

• $449.82

• $409

• $107.10

The fee to check luggage with a new airline is based on the weight of each bag. Brett paid $7.14 to check a 42-pound bag. How much will Eileen pay if her bag weighs 63 pounds?

• $10.71

• $449.82

• $409

• $107.10

If the constant of proportionality is 10, which of the following is the correct proportional equation?

• 10=kx

• 10=k

• y=10k

• y=10x

The equation y=5x describes a proportional relationship between x and y. What is the constant of proportionality?

• 6

• 4

• 7

• 5