Understanding Rate of Change

The video tutorial explains how to determine whether rates of change are constant or variable by analyzing tables and graphs. It covers the use of formulas to identify constants in tables and demonstrates how to calculate the rate of change using a graph, specifically through the example of Erica's walk. The tutorial emphasizes the importance of understanding the relationship between variables and how to apply the slope formula to find rates of change.

What is the formula used to determine if a rate of change is constant in a table?

• Y divided by X

• X divided by Y

• X plus Y

• Y minus X

If a table shows the same result for Y divided by X across all entries, what does it indicate?

• The table is incorrect

• The rate of change is variable

• The rate of change is constant

• The table is not proportional

In the example with 6 divided by 2 and 12 divided by 4, what was concluded about the rate of change?

• It is constant

• It is proportional

• It is incorrect

• It is variable

What does the slope formula help determine on a graph?

• The color of the graph

• The rate of change

• The width of the graph

• The height of the graph

How do you calculate the slope between two points on a graph?

• Add the X values and Y values

• Subtract the X values from Y values

• Divide the Y difference by the X difference

• Multiply the X values by Y values

What is the rate of change if Erica's distance from home increases from 200 feet to 400 feet in one minute?

• 100 feet per minute

• 200 feet per minute

• 300 feet per minute

• 400 feet per minute

When calculating the rate of change, what does the Y-axis typically represent?

• Height

• Time

• Distance

• Speed

If a line on a graph has a constant slope, what does it indicate about the rate of change?

• The rate of change is decreasing

• The rate of change is increasing

• The rate of change is constant

• The rate of change is variable

What should you do if the Y-axis is not counting by ones when calculating rise over run?

• Ignore the axis

• Count by ones anyway

• Count by the intervals given

• Use a different formula

Why is it important to understand the constant rate of change on a graph?

• It is not important

• It helps in predicting future values

• It makes the graph look better

• It changes the graph's color