Review: Constant of Proportionality and Rate of Change/Honor

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you find the rate of change from a graph?

Back

The rate of change is found by calculating the change in the y-values divided by the change in the x-values (rise/run).

Front

What is the formula for calculating the constant of proportionality from a table?

Back

The constant of proportionality can be calculated by dividing the output value by the input value for any pair of corresponding values.

Front

What does a negative rate of change indicate?

Back

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

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

What is the relationship between rate of change and slope in a linear graph?

Back

The rate of change is equivalent to the slope of the line on a graph.

Front

How can you determine which company has a greater rate of change from a table?

Back

Compare the rates of change (slope) calculated from the data for each company.

Front

What does it mean if the constant of proportionality is greater than 1?

Back

If the constant of proportionality is greater than 1, it means that the output increases faster than the input.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 2?

Back

The equation is y = 3x + 2.

Front

How do you interpret a rate of change of 0?

Back

A rate of change of 0 indicates that there is no change in the output as the input changes.