Proportional Relationships and Slope

Front

What is the constant of proportionality?

Back

The constant of proportionality is the unit rate that describes the relationship between two proportional quantities.

Front

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

Back

A table represents a proportional relationship if the unit rate is constant for all pairs of values.

Front

What does it mean if a table is not proportional?

Back

A table is not proportional if the unit rate changes or if it does not pass through the origin.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is one unit.

Front

Write an equation for a proportional relationship where the constant of proportionality is 18.50.

Back

y = 18.50x

Front

If a table shows the number of trees and apples, how can you check for proportionality?

Back

Calculate the unit rate for each pair of values; if they are all the same, the relationship is proportional.

Front

What is the slope in a proportional relationship?

Back

The slope is the constant of proportionality, representing the rate of change between the two variables.

Front

How do you find the slope from a graph?

Back

The slope can be found by selecting two points on the line and using the formula (change in y) / (change in x).

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the line passes through the origin (0,0), indicating that when one quantity is zero, the other is also zero.

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.