Exponential Functions and Word Problems

What is the initial value?

• 0

• 3

• 33

• 66

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. (HINT: Write out the equation on a separate piece of paper and then simplify inside the parenthesis)

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Write an equation to represent the situation:

You invested $400 into an account with 7.5% interest rate compounded monthly. Which equation can be used to calculate how much you will have in 7 years?

Cassandra bought an antique dresser for $500. The value of her dresser increases 6% annually. Write the equation that represents the situation. Write the equation using this format with no spaces: y=a(b)^x

What is the growth factor?

• $35,000

• 0.05

• 1.05

• 0.95

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.

Write the equation that represents the situation.

Write the equation using this format with no spaces:

y=a(b)^x

Cassandra bought an antique dresser for $500. The value of her dresser increases 6% annually.

What is the growth factor?

• 500

• 0.06

• 1.06

• 0.94

Cassandra bought an antique dresser for $500. The value of her dresser increases 6% annually.

What will be the value of the dresser at the end of 3 years?