Exponential Functions Types Word Problems

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?

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

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 New York Volleyball Association invited 64 teams to compete in a tournament. After each round, half of the teams were eliminated.

Which equation represents the number of teams, t, that remained in the tournament after r rounds?

• t=64(r)^0.5

• t=64(-0.5)^r

• t=64(1.5)^r

• t=64(0.5)^r

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

What is the initial value?

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.