IM1: Rate of Change and Linear Functions 2025 F.IF

Front

What is the average rate of change?

Back

The average rate of change is the change in the value of a function divided by the change in the input value over a specific interval.

Front

Calculate the average rate of change from 20 to 40 minutes.

Back

-2 gallons per minute.

Front

What function family do linear functions belong to?

Back

Linear.

Front

What is the rate of change in a linear relationship?

Back

The rate of change is constant and represents the slope of the line.

Front

If the rate of change is negative, what does it indicate?

Back

It indicates that as one variable increases, the other variable decreases.

Front

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

Back

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

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is the slope of a line that decreases from left to right?

Back

Negative.

Front

What is the slope of a line that increases from left to right?

Back

Positive.

Front

What does a slope of zero indicate?

Back

It indicates a horizontal line, meaning there is no change in y as x changes.