Writing Exponential Functions from Word Problems

The video tutorial covers writing exponential functions from word problems, focusing on two types: when all values are given and when values are given as percentages. The first example discusses the exponential growth of rabbits in Australia, using a starting value and growth rate to form an equation. The second example involves calculating a salary increase by a percentage, demonstrating how to determine the growth rate and form the equation. The tutorial emphasizes understanding initial values, growth rates, and the importance of exponents in exponential functions.

What was the initial number of rabbits brought to Australia?

• 25 rabbits

• 30 rabbits

• 15 rabbits

• 20 rabbits

What is the common ratio of the monthly increase in the rabbit population?

• 1.3

• 1.2

• 1.5

• 1.4

What does the 'a' value represent in the exponential function?

• Decay rate

• Time period

• Initial amount

• Growth rate

What does the 'b' value signify in the context of exponential growth?

• Time period

• Final amount

• Initial amount

• Growth rate

Why is the exponent important in an exponential function?

• It represents time.

• It represents decay.

• It represents initial amount.

• It represents final amount.

What is the starting salary at the Thrifty Federal Credit Union?

• $20,000

• $25,000

• $30,000

• $35,000

By what percentage does the salary increase each year?

• 5%

• 3%

• 4%

• 2%

How do you calculate the new 'b' value for a salary increase?

• 100% * increase%

• 100% + increase%

• 100% - increase%

• increase% / 100%

What is the 'b' value calculated for the salary increase?

• 1.04

• 1.02

• 1.03

• 1.05

What does the final exponential function for the salary look like?

• y = 25,000(1.03)^x

• y = 25,000(1.05)^x

• y = 20,000(1.03)^x

• y = 30,000(1.02)^x