Exponential Growth and Decay Concepts

The video tutorial introduces exponential growth and decay, explaining their characteristics and formulas. It covers function notation, calculations with exponents, and how to analyze growth and decay using tables. Examples include population growth and decay scenarios, emphasizing the importance of initial amounts and growth or decay factors.

What does the 'a' in the exponential growth formula represent?

• Decay factor

• Initial amount

• Exponent

• Growth factor

If 'B' is less than 1 in the exponential formula, what does it indicate?

• Constant function

• Exponential decay

• Linear growth

• Exponential growth

How do you calculate the value of an exponential function using a calculator?

• By adding the exponent to the base

• By inputting the base and exponent using the exponential function

• By dividing the base by the exponent

• By multiplying the base by the exponent

What is the growth factor in an exponential growth equation where the base is 6?

• The exponent

• 1

• 0

• 6

In exponential decay, what range must the base 'B' fall within?

• Between 0 and 1

• Less than 0

• Greater than 1

• Exactly 1

What does dividing by a number in exponential decay equate to in multiplication terms?

• Multiplying by the reciprocal of the number

• Adding the number

• Multiplying by the same number

• Subtracting the number

How many rabbits will there be after 5 years if the population doubles every year starting with 2 rabbits?

• 128

• 64

• 32

• 256

What is the initial amount in a decay problem where the starting value is 20 and it halves every cycle?

• 5

• 10

• 20

• 40

If a bacteria population halves every 5 hours, how many bacteria remain after 15 hours starting with 20?

• 5

• 2.5

• 10

• Approximately 3

What is the decay factor in an exponential decay problem where the quantity is divided by 7 each time?

• 7

• 1/7

• 0.7

• -7