Functions & Proportional Relationships

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 determine if a table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of the corresponding values are equal.

Front

If Bryce pays $14 for 8 pounds of strawberries, how do you find the price per pound?

Back

Divide the total cost by the total weight: $14 ÷ 8 = $1.75 per pound.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line crosses the graph more than once, it is not a function.

Front

What is an example of a proportional function?

Back

Beverly earns $210 a week for 4 weeks is a proportional function because her earnings are directly proportional to the number of weeks.

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the total quantity by the number of units: Unit Rate = Total Quantity ÷ Number of Units.

Front

What is a constant of proportionality?

Back

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

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will graph as a straight line that passes through the origin (0,0).

Front

What is the relationship between slope and proportional relationships?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality.

Front

What does it mean if a graph does not pass the vertical line test?

Back

If a graph does not pass the vertical line test, it means that it does not represent a function.