Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

How do you find the price per item when given the total cost and quantity?

Back

Divide the total cost by the number of items. For example, if 4 tickets cost $252, the price per ticket is $252 ÷ 4 = $63.

Front

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

Back

To find the hourly rate, divide the total earnings by the number of hours: $37 ÷ 4 hours = $9.25 per hour.

Front

What does it mean for two quantities to have a proportional relationship?

Back

Two quantities have a proportional relationship if they maintain a constant ratio or rate, meaning as one quantity increases, the other increases at a consistent rate.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the formula to calculate the constant of proportionality?

Back

The constant of proportionality (k) can be calculated using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a table shows values (2, 4), (3, 6), and (4, 8), what is the constant of proportionality?

Back

The constant of proportionality is 2, as each y-value is 2 times the corresponding x-value.

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed; if you double the time, you double the distance.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship between the variables.

Front

How can you identify proportional relationships in graphs?

Back

Proportional relationships in graphs are represented by straight lines that pass through the origin.