Exponential Growth and Graphing Techniques

The video tutorial explains exponential growth using Shane Dawson's marriage proposal as an example. It starts with 25 people knowing about the proposal, and this number triples every minute. The tutorial covers setting up the exponential growth equation, graphing it, and verifying the results using Desmos. The process involves understanding the initial value, common ratio, and plotting points on a graph to visualize the growth.

What is the initial number of people who know about Shane Dawson's proposal?

• 75

• 50

• 10

• 25

What type of function describes the growth of people knowing about the proposal?

• Exponential

• Quadratic

• Logarithmic

• Linear

If the number of people triples every minute, what is the common ratio in the exponential function?

• 5

• 4

• 3

• 2

How many people know about the proposal after 1 minute?

• 25

• 100

• 50

• 75

What is the number of people who know about the proposal after 2 minutes?

• 225

• 200

• 150

• 300

Which tool is suggested for graphing the exponential function?

• Excel

• Desmos

• GeoGebra

• Mathematica

What is the equation used to represent the growth of people knowing about the proposal?

• y = 25 + 3x

• y = 3x + 25

• y = 25 * 3^x

• y = 25x

What is the y-value when x equals 0 in the graph?

• 50

• 25

• 0

• 75

How can you adjust the graph for better visualization?

• Adjust the x-axis range

• Rotate the graph

• Change the color

• Zoom in

What is the purpose of using Desmos in this context?

• To graph functions

• To solve equations

• To write essays

• To calculate derivatives