Exploring Slope and Rate of Change

What is the main goal of today's lesson?

• To practice multiplication

• To learn about fractions

• To study geometry

• To understand rate of change and slope

What does the rate of change compare?

• The sum of two input values

• The difference between two input values

• The difference between two output values

• The difference between two output values to the difference between the corresponding input values

In the context of rate of change, what is the output value typically represented by?

• X

• Y

• Z

• W

How do you determine if the rate of change is constant?

• By checking if the ratios of Y over X are the same

• By adding all the X values

• By subtracting the smallest Y value from the largest

• By multiplying the X and Y values

What is the rate of change if the Y values change by 6, 9, 3, and 6, and the X values change by 2, 3, 1, and 2?

• 2

• 3

• 5

• 4

What is a slope in the context of rate of change?

• A variable rate of change

• A constant rate of change that creates a straight line

• A random change in values

• A curve on a graph

What does a constant slope indicate about a function?

• It is a non-linear function

• It is a linear function

• It has no relationship between X and Y

• It is a quadratic function

In graphing, what is the independent variable usually represented by?

• W

• Y

• X

• Z

If a person earns $8.50 per hour, what is the slope of the earnings to hours graph?

• 8.5

• 10

• 7.5

• 9

What does a straight line on a graph indicate about the rate of change?

• It is constant

• It is increasing

• It is decreasing

• It is variable