Using Function Tables to Find Average Rates of Change in Height

This video tutorial teaches how to calculate average rates of change using data in function tables. It explains the concept of mean and how to analyze real-life data using piecewise graphs. The tutorial uses a man's growth data to demonstrate finding the average rate of change and predicting future growth. It highlights the importance of growth rate analysis in real-life applications, such as in pediatricians' offices.

What is the first step in finding the average of a data set?

• Divide the total number of data by the sum

• Subtract the smallest data point from the largest

• Find the sum of the data

• Multiply all data points together

Why might real-life data not form a perfect linear relationship?

• Because data is always inaccurate

• Because real-life situations are complex

• Because graphs are always piecewise

• Because data points are always equal

What is the average rate of change in the man's height from age 6 to 12?

• 2.5 inches per year

• 4 inches per year

• 1.5 inches per year

• 3 inches per year

How tall is the man predicted to be at age 16?

• 68 inches

• 74 inches

• 72 inches

• 70 inches

What is the predicted height of the man at age 20?

• 70 inches

• 72.3 inches

• 74 inches

• 71 inches

What is the new growth rate per year from age 19?

• 1.5 inches per year

• 2 inches per year

• 3 inches per year

• Less than 1 inch per year

Why are growth rate charts useful in pediatricians' offices?

• They predict exact future heights

• They show the fastest growth periods

• They are used to compare different individuals

• They help in understanding general growth patterns