Proportional or Nonproportional

Front

What is the unit rate/constant of proportionality?

Back

The unit rate or constant of proportionality is the ratio of two quantities that shows how much of one quantity corresponds to one unit of another quantity. For example, 40 miles in 1 hour means for every hour, 40 miles are traveled.

Front

What makes a graph proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0). This indicates a constant rate of change.

Front

A machine packs boxes at a constant rate of 2/3 a box every 1/2 a minute. What is the number of boxes it packs per minute?

Back

4/3 boxes per minute.

Front

Which statement best describes the relationship between x and y in the table?

Back

Proportional means that as x increases, y increases at a constant rate.

Front

On Saturday, Dr. Morrison drove 340 miles in 5 hours. On Sunday, he drove 198 in 3 hours. What can we conclude about his rates?

Back

His rate on Sunday was 2 miles per hour slower than his rate on Saturday.

Front

Define proportional relationship.

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate.

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is one where the ratio between two quantities is not constant.

Front

How do you find the unit rate from a given ratio?

Back

To find the unit rate, divide both quantities by the same number to simplify the ratio to one unit.

Front

What is the formula for calculating the constant of proportionality?

Back

The constant of proportionality can be calculated using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

If a graph is not a straight line, what does that indicate about the relationship?

Back

If a graph is not a straight line, it indicates that the relationship between the variables is not proportional.