Exponential Growth Concepts Assessment

This video tutorial explains how to create and graph exponential relationships using a table of values. It begins with an introduction to exponential growth, using a savings account as an example. The concept is further illustrated with a dot example, showing how exponential growth works. The tutorial then covers how to graph exponential functions, highlighting the differences between growth and decay. Finally, it demonstrates how to create and graph functions using a table of values, focusing on a bank account example to illustrate the process.

What is the main focus of exponential growth?

• Increasing values over time

• Constant values over time

• Random values over time

• Decreasing values over time

In the example of 25 dots growing by 40%, what is the new number of dots after one step?

• 40

• 45

• 30

• 35

What is the formula used to represent exponential growth?

• y = a / (1 + r)^x

• y = a * r^x

• y = a * (1 + r)^x

• y = a + r * x

How does an exponential growth graph typically appear?

• A curve that steepens over time

• A curve that flattens over time

• A straight line

• A zigzag pattern

What is the difference between growth and decay in exponential functions?

• Growth factor is less than one, decay factor is more than one

• Both have factors less than one

• Growth factor is more than one, decay factor is less than one

• Both have factors more than one

What is the initial value of the bank account in the example?

• 100

• 150

• 50

• 75

What is the growth rate of the bank account per year?

• 4%

• 2%

• 1%

• 3%

What is the equation for the bank account's growth over time?

• Amount = 100 * 1.06^t

• Amount = 100 * 1.03^t

• Amount = 100 * 1.05^t

• Amount = 100 * 1.04^t

On which axis is time plotted when graphing the bank account growth?

• Z-axis

• Y-axis

• W-axis

• X-axis

What have you learned in this lesson about exponential relationships?

• How to create and graph linear relationships

• How to create and graph exponential relationships

• How to create and graph logarithmic relationships

• How to create and graph quadratic relationships