Exponential Functions and Growth Factors

The video tutorial by Whoa Joe covers exponential growth and decay, explaining the basic structure of exponential functions and how to identify growth or decay factors. It provides examples to illustrate these concepts and applies them to solve word problems. The tutorial emphasizes understanding the initial amount and growth or decay factors in equations, and how these relate to real-world scenarios. The video concludes with advanced examples and a summary of key ideas.

What is the basic form of an exponential function?

• y = a + bx

• y = a * b^x

• y = a / b^x

• y = ax + b

In an exponential function, what does the base of the exponent represent?

• Initial amount

• Growth or decay factor

• Elapsed time

• Final amount

If the growth factor in an exponential function is 1.12, what is the percentage growth?

• 12%

• 1.12%

• 0.12%

• 112%

What does a growth factor of 0.82 indicate in an exponential function?

• 82% decay

• 82% growth

• 18% decay

• 18% growth

How would you express a 75% increase in an exponential function?

• 0.75

• 0.25

• 1.75

• 75

What is the growth factor if a quantity doubles?

• 1

• 2

• 3

• 0.5

In a word problem involving exponential growth, what does the initial amount represent?

• The time period

• The starting value

• The final amount

• The growth rate

If a bank account grows at a rate of 4% per year, what is the growth factor?

• 1.04

• 0.04

• 4

• 104

How much would $100 grow to after 12 years at a 4% annual growth rate?

• $140

• $160.10

• $104

• $120

In 1985, there were 285 cell phones in a town. If the number increases by 75% per year, what is the growth factor?

• 1.75

• 0.75

• 75

• 2.75