Constant Rate of Change

Front

What is the definition of constant rate of change?

Back

The constant rate of change is the rate at which one quantity changes in relation to another quantity, remaining the same over a specified interval.

Front

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

Back

To calculate the constant rate of change, divide the change in the dependent variable by the change in the independent variable between two points.

Front

If a car travels 60 miles in 1 hour, what is the constant rate of change?

Back

60 miles per hour.

Front

What is the formula for constant rate of change?

Back

The formula is: \( \text{Rate of Change} = \frac{\text{Change in y}}{\text{Change in x}} \) or \( \text{Rate} = \frac{\Delta y}{\Delta x} \)

Front

If a person earns $10 per hour, what is the constant rate of change in their earnings?

Back

$10 per hour.

Front

What does a graph with a constant rate of change look like?

Back

A graph with a constant rate of change is a straight line.

Front

If the temperature increases from 20°C to 30°C over 5 hours, what is the constant rate of change?

Back

2°C per hour.

Front

What is the constant rate of change if a bike travels 15 miles in 3 hours?

Back

5 miles per hour.

Front

How can you identify a constant rate of change from a graph?

Back

You can identify a constant rate of change from a graph by checking if the slope of the line is consistent.

Front

What is the constant rate of change if a recipe requires 2 cups of flour for every 3 batches of cookies?

Back

\( \frac{2}{3} \) cups of flour per batch.