Bathtub Filling and Juice Ratios

Mr. Holly guides students through a problem set involving proportional relationships. The first problem involves mixing cranberry and apple juice in a specific ratio, demonstrating how to scale up proportions and find the constant of proportionality. The second problem involves calculating the rate at which a bathtub fills, emphasizing the importance of time as a variable in rate calculations. The video explains how to identify and use constants in proportional relationships and solve real-world problems using these concepts.

What is the initial ratio of cranberry to apple juice mentioned in the problem?

• 5 to 3

• 1 to 2

• 3 to 5

• 2 to 3

If you double the initial ratio of cranberry to apple juice, how many parts of apple juice will you have?

• 12 parts

• 8 parts

• 6 parts

• 10 parts

What is the constant of proportionality (K value) for the cranberry to apple juice ratio?

• 1/3

• 2/5

• 3/5

• 5/3

What is the significance of the constant of proportionality in the cranberry and apple juice problem?

• It is irrelevant to the problem

• It is used to find the total number of parts

• It connects the amount of apple juice to cranberry juice

• It determines the total amount of juice

In the bathtub problem, what is the rate of water filling in inches per minute?

• 1 inch per minute

• 1.5 inches per minute

• 3 inches per minute

• 2 inches per minute

How many inches of water does John fill in 2 minutes?

• 3 inches

• 2 inches

• 5 inches

• 4 inches

If John wants to fill the bathtub to 18 inches, how many total minutes will it take?

• 10 minutes

• 12 minutes

• 14 minutes

• 16 minutes

What is the total time taken to fill the bathtub with 18 inches of water if 2 minutes have already passed?

• 10 minutes

• 12 minutes

• 14 minutes

• 16 minutes

What is the relationship between time and rate in the context of the bathtub problem?

• Time is the numerator in the rate

• Time is the denominator in the rate

• Time is equal to the rate

• Time is irrelevant to the rate

If the rate of filling the bathtub was 6 inches in 3 minutes, what would be the simplified rate in inches per minute?

• 1 inch per minute

• 2 inches per minute

• 4 inches per minute

• 3 inches per minute