Proportional Relationships and Rates with Similar figures

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you find the price per ticket if you know the total cost and the number of tickets?

Back

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

Front

What is the constant of proportionality?

Back

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

Front

What does the equation y = 3x represent?

Back

This equation represents a proportional relationship where for every increase of 1 in x, y increases by 3.

Front

How do you determine if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be written in the form y = kx, where k is a constant.

Front

If you travel 150 miles on 5 gallons of gas, how do you find the miles per gallon?

Back

Divide the total miles by the total gallons. In this case, 150 miles / 5 gallons = 30 miles per gallon.

Front

What is the formula to find the unit rate?

Back

The unit rate can be found by dividing the quantity by the number of units. For example, if you have 150 miles and 5 gallons, the unit rate is 150 miles / 5 gallons.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = 5x - 7, because it does not pass through the origin.

Front

How can you identify the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the y-value by the corresponding x-value for any pair of values.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity also increases at a constant rate.