Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you write an equation from a proportional relationship?

Back

To write an equation from a proportional relationship, identify the constant of proportionality and use the form y = kx, where k is the constant.

Front

What does the term 'unit' mean in mathematics?

Back

In mathematics, 'unit' refers to a single, standard quantity used for measurement.

Front

If a car travels at a constant speed of 45 mph, how far will it travel in 3 hours?

Back

To find the distance, use the formula distance = speed × time. So, distance = 45 mph × 3 hours = 135 miles.

Front

What is the formula to calculate distance when speed and time are known?

Back

The formula to calculate distance is: Distance = Speed × Time.

Front

If Ernie travels 195 miles in 3 hours, what is his speed in miles per hour?

Back

To find the speed, use the formula speed = distance / time. So, speed = 195 miles / 3 hours = 65 mph.

Front

How do you determine the constant of proportionality from a table of values?

Back

To determine the constant of proportionality from a table, divide the output value (y) by the input value (x) for any pair of corresponding values.

Front

What is the relationship between distance, speed, and time?

Back

The relationship is defined by the formula: Distance = Speed × Time.

Front

If a worker earns $5 per hour, how much will they earn in 8 hours?

Back

To find the total earnings, multiply the hourly rate by the number of hours: Total earnings = $5/hour × 8 hours = $40.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand and predict relationships between quantities, such as speed, cost, and distance.