3.1-3.3 Proportional Relationships and Unit Rates

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 is constant.

Front

Define unit rate.

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the slope of a line?

Back

The slope of a line is found by taking the difference in the y-coordinates and dividing it by the difference in the x-coordinates of two points on the line.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio that describes how one quantity changes in relation to another in a proportional relationship.

Front

How do you calculate the cost per unit?

Back

To calculate the cost per unit, divide the total cost by the number of units.

Front

If a line has a negative slope, what does that indicate?

Back

A negative slope indicates that as one quantity increases, the other quantity decreases.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are used to determine the constant of proportionality in proportional relationships.

Front

How can you determine which option has the lowest cost per unit?

Back

Calculate the cost per unit for each option and compare the values.