Constant Rate of Change Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio that relates two quantities that are proportional to each other, often represented as k in the equation y = kx.

Front

How do you identify a constant rate of change in a graph?

Back

A constant rate of change is identified by a straight line on a graph, indicating that as one quantity increases, the other quantity increases at a consistent rate.

Front

What does a linear relationship look like in a graph?

Back

A linear relationship appears as a straight line, where the change in y is proportional to the change in x.

Front

If the constant of proportionality is 2, what is the relationship between y and x?

Back

The relationship can be expressed as y = 2x, meaning for every unit increase in x, y increases by 2.

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

What does it mean if a graph shows exponential growth?

Back

Exponential growth means that the quantity increases at a rate proportional to its current value, resulting in a curve that rises steeply.

Front

How can you determine the constant of proportionality from a table of values?

Back

To determine the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What is the significance of the slope in a linear graph?

Back

The slope of a linear graph represents the constant rate of change, indicating how much y changes for a unit change in x.

Front

What does a constant rate of change indicate in a real-world scenario?

Back

A constant rate of change indicates that a quantity is changing at a steady rate over time, such as speed in a distance-time relationship.

Front

If a line on a graph has a slope of 1/2, what does this mean?

Back

A slope of 1/2 means that for every 1 unit increase in x, y increases by 0.5 units.