Exponential Functions Word

What is the starting amount for the following function:
f(x) = 3(1/3)^x 

• 0

• 1/3

• 1

• 3

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

What is the initial value?

• 0

• 3

• 33

• 66

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

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

• $361,223.09

• $15,000.00

• $31,500.29

• $280,500.86

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(0.92)^x

• y=15,000(1.08)^x

• y=15,000(0.08)^x

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

• y=5000(0.7)^x

• y=5000(1.3)^x

• y=30(5000)^x

• y=5000x^x

The population of Boringtown decreased annually by 1.8% between the year 2015-2018. In 2015, there were approximately 200,000 people living in Boringtown. Which function models the city's population since 2015?

• f(x) = 200,000(1 + 0.018)³

• f(x) = 200,000(1 - 0.18)³

• f(x) = 200,000(1 + 0.18)³

• f(x) = 200,000(1 - 0.018)³

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