Proportional Equations (graphs and tables)

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

What is the unit rate?

Back

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

Front

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

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

What is the constant of proportionality (COP)?

Back

The constant of proportionality (COP) is the constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

What does the equation d = 60t represent?

Back

The equation d = 60t represents the distance (d) traveled at a constant speed of 60 units per hour for t hours.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship in a graph is identified by a straight line that passes through the origin (0,0).

Front

What are the two variables in the rate of cost per day?

Back

The two variables in the rate of cost per day are cost and days.

Front

What does it mean if a graph does not represent a proportional relationship?

Back

If a graph does not represent a proportional relationship, it means that the relationship between the variables is not constant and does not form a straight line through the origin.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope in a proportional relationship represents the constant of proportionality and indicates how much one quantity changes in relation to another.

Front

How do you calculate the unit rate from a given rate?

Back

To calculate the unit rate, divide the total quantity by the number of units to find the amount per one unit.