Rate of change

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often expressed as a ratio or a slope.

Front

How do you find the rate of change from a table of values?

Back

To find the rate of change from a table, calculate the difference in the y-values divided by the difference in the x-values for two points.

Front

What does a constant rate of change indicate?

Back

A constant rate of change indicates that the relationship between two quantities is linear, meaning it can be represented by a straight line on a graph.

Front

What is a non-linear rate of change?

Back

A non-linear rate of change occurs when the relationship between two quantities does not form a straight line, indicating that the rate of change varies.

Front

Write the equation for a linear relationship given the rate of change of 3 and a y-intercept of 0.

Back

y = 3x

Front

If a car travels 200 miles in 4 hours, what is the constant rate of change?

Back

50 miles per hour

Front

What is the formula to calculate the slope (rate of change) between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1)