Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change is a consistent amount of change in a quantity over a specific period of time, often represented as a slope in a linear relationship.

Front

How do you identify a constant rate of change from a table?

Back

Look for a consistent difference in the output values (y-values) for equal increments in the input values (x-values).

Front

What does a proportional relationship look like on a graph?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of the output value to the input value in a proportional relationship, often denoted as 'k'.

Front

If a table shows costs for different quantities, how can you find the unit rate?

Back

Divide the total cost by the number of units to find the cost per unit.

Front

What is the formula for calculating the constant rate of change?

Back

The formula is (change in y) / (change in x), often represented as slope (m) in the equation of a line.

Front

How can you determine if a relationship is not proportional?

Back

If the graph does not pass through the origin or if the ratios of corresponding values are not constant, the relationship is not proportional.

Front

What is an example of a constant rate of change in real life?

Back

An example is a taxi fare that charges a fixed rate per mile.

Front

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

Back

Divide the total amount earned or spent by the total time or quantity involved.

Front

What does it mean if the constant rate of change is negative?

Back

A negative constant rate of change indicates that as one quantity increases, the other quantity decreases.