Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, defined by the equation y = kx.

Front

If a car travels 420 miles in 8 hours, what is the constant of proportionality (rate) in miles per hour?

Back

k = 420 miles / 8 hours = 52.5 miles per hour.

Front

What is the formula to find the constant of proportionality?

Back

k = y/x.

Front

In the equation y = kx, what does 'k' represent?

Back

k represents the constant of proportionality.

Front

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

How do you solve for 'y' in the equation y = kx when k = 5 and x = 3?

Back

y = 5 * 3 = 15.

Front

What is the relationship between x and y in a proportional relationship?

Back

In a proportional relationship, as x increases, y increases at a constant rate defined by k.

Front

If y = 12x, what will be the value of y when x = 4?

Back

y = 12 * 4 = 48.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

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

Back

k = 2 cups of flour / 3 cups of sugar.