Constant of Proportionality Practice

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant throughout the relationship.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the output value by the input value for any pair of corresponding values. If the ratio is the same for all pairs, the relationship is proportional.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

If Craig earns $37 for 4 hours, what is his hourly rate?

Back

$9.25 per hour.

Front

If a car travels 90 miles in 2 hours, what is the constant of proportionality in miles per hour?

Back

45 mph.

Front

What is the formula to calculate the constant of proportionality?

Back

k = y/x, where y is the output and x is the input.

Front

Identify the constant of proportionality if k = 5. What does this mean?

Back

k = 5 means that for every unit increase in x, y increases by 5 units.

Front

What is the constant of proportionality for the graph that shows a straight line through the origin with a slope of 2?

Back

The constant of proportionality is 2.

Front

If a recipe requires 3 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

7.5 cups of flour (constant of proportionality is 0.75 cups per serving).

Front

What is the constant of proportionality if a car travels 160 miles in 4 hours?

Back

40 mph.