Finding Values of Exponential Functions Word Problems

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

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

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:

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.

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

A zombie infection in Yonkers Public Schools grows by 15% per hour. The initial group of zombies was a group of 4 freshmen.

Write the equation that represents the situation.
Write the equation using this format with no spaces:
y=a(b)^x

A new IPhone costs $799 and is estimated to lose 25% of its value every six months after its purchase.

What is the growth factor?

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 4 people.

• 22,972 people.

• 1,169,030 people.

• 1,188,311 people.