Representing Proportional Relationships

Front

What is the unit rate?

Back

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

Front

Calculate the slope of a line given two points (2, 3) and (8, 9).

Back

The slope (m) is calculated as (y2 - y1) / (x2 - x1). For the points (2, 3) and (8, 9), the slope is (9 - 3) / (8 - 2) = 6/6 = 1.

Front

What is the unit rate if the rate is 30 laps for 10 minutes?

Back

The unit rate is 3 laps per minute, calculated by dividing the total laps by the total time.

Front

Which company shows a greater rate of change?

Back

To determine the greater rate of change, compare the slopes of the lines representing each company's data.

Front

What does a slope of 6 indicate in a graph?

Back

A slope of 6 indicates that for every 1 unit increase in the x-direction, the y-value increases by 6 units.

Front

Define proportional relationships.

Back

Proportional relationships are relationships between two quantities where the ratio between them remains constant.

Front

What is the formula for calculating the unit rate?

Back

The formula for calculating the unit rate is: Unit Rate = Total Quantity / Total Time.

Front

If a graph shows a straight line, what does it indicate about the relationship between the variables?

Back

A straight line indicates a constant rate of change between the two variables, meaning they are proportional.

Front

How do you find the unit price when given a total price and quantity?

Back

To find the unit price, divide the total price by the quantity: Unit Price = Total Price / Quantity.

Front

What is the significance of the y-intercept in a proportional relationship graph?

Back

In a proportional relationship, the y-intercept is always 0, indicating that when the independent variable is 0, the dependent variable is also 0.