Constant of Proportionality (tables, graphs, word problems)

What is the constant of proportionality?

• A constant ratio between two quantities that are proportional to each other.

• A variable that changes with the input values.

• A fixed number that does not change regardless of the quantities.

• A measure of how much one quantity changes in relation to another.

How can you express the constant of proportionality in a word problem?

• As a ratio, such as '2:5' or '3:1'.

• As a percentage, such as '50%' or '75%'.

• As a rate, such as '5 apples per 2 bags' or '3 dollars per hour.'

• As a fraction, such as '1/2' or '3/4'.

What is the constant of proportionality if 30 miles are driven in 1 hour?

• 20 miles per hour

• 25 miles per hour

• 30 miles per hour

• 35 miles per hour

How can you find the constant of proportionality in a table?

• By adding the x-value and y-value together for any pair of values in the table.

• By multiplying the y-value by the corresponding x-value for any pair of values in the table.

• By dividing the y-value by the corresponding x-value for any pair of values in the table.

• By finding the average of the x-values in the table.

What is the unit rate?

• The unit rate is the constant of proportionality expressed as a ratio of two quantities where the second quantity is 1.

• The unit rate is the total amount divided by the number of items.

• The unit rate is the difference between two quantities.

• The unit rate is the average of a set of values.

If a recipe calls for 3 cups of flour for every 2 cups of sugar, what is the constant of proportionality?

• 1.0 cups of flour per cup of sugar

• 1.5 cups of flour per cup of sugar

• 2.0 cups of flour per cup of sugar

• 0.5 cups of flour per cup of sugar

What does it mean if the constant of proportionality is 0?

• It means there is a direct relationship between the two quantities.

• It means there is no relationship between the two quantities.

• It means the two quantities are equal.

• It means the two quantities are inversely proportional.

If a car travels 60 miles in 1 hour, what is the unit rate?

• 50 miles per hour

• 60 miles per hour

• 70 miles per hour

• 80 miles per hour

What does a graph of a proportional relationship look like?

• A graph of a proportional relationship is a straight line that passes through the origin (0,0).

• A graph of a proportional relationship is a curved line that approaches the origin.

• A graph of a proportional relationship is a horizontal line above the x-axis.

• A graph of a proportional relationship is a vertical line along the y-axis.

What is an example of a non-proportional relationship?

• y = 3x

• y = 2x + 3

• y = 5x - 1

• y = 4x