Constant of Proportionality HW1

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is often represented by the letter 'k'.

Front

How do you calculate the constant of proportionality using the formula k = \(\frac{y}{x}\)?

Back

To find 'k', divide the value of 'y' by the value of 'x'.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1. It represents the constant of proportionality in a proportional relationship.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if the ratio between two quantities remains constant.

Front

If a person earns $1,500 per month, how much will they earn in 7 months?

Back

$10,500

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = \(\frac{y}{x}\), where 'y' is the dependent variable and 'x' is the independent variable.

Front

If k = 1/4, what does this indicate about the relationship between x and y?

Back

It indicates that for every 1 unit increase in x, y increases by 1/4 units.

Front

What is the significance of the constant of proportionality in real-life situations?

Back

It helps to understand how two quantities are related and allows for predictions based on that relationship.

Front

How can you determine if a set of data points is proportional?

Back

By checking if the ratio of y to x is constant for all data points.

Front

What is an example of a proportional relationship in everyday life?

Back

An example is the relationship between distance and time when traveling at a constant speed.