Sequences/Exponential Functions Test Review

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

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(1.08)^x
• y=15,000(0.92)^x
• y=15,000(0.08)^x

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x
• f(x)=400(1-0.03)^x
• f(x)=400(1+0.03)^x
• f(x)=400(0.03)^x

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%
• 13%
• 800%
• 8.7%

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

The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%, which graph models this situation after the office worker receives x annual increases?

• 
• 
• 
• 

The table shows the population, p, of mice in a field at the end of m months.

Based on the the data in the table, what will be the population of mice in the field at the end of 8 months?

• 192

• 3,072

• 1,536

• 256

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?

Write the exponential regression equation for this data.

• Y = 8.16(2.7)^X
• Y = 81.6(2.7)^X
• Y = 8.16(.27)^X
• Y = 8.16(27)^X

If a Costco blueberry muffin is left on the counter, mold spores will begin to grow. On Saturday there were 2 mold spores that begin to triple each day. Which equation represents the growth of mold after x days?