Exponential Functions Test Review

Agnes purchases a ring for $200 and it depreciates 6% per year from the date of purchase. Which function models the value V(t) of the ring?

• V(t)=200(1.6)^t
• V(t)=1.06x+200
• V(t)=200(.06)^t
• V(t)=200(.94)^t

The population of a city increases by 2.3% every year. Its current population is 120,000.

1. Write the expression for what the population will be like in 3 years.

• 120000(1.023)^3

• 120000(1.23)^3

• 120000(1023)^3

• 1.023(120000)^3

The population of a city increases by 2.3% every year. Its current population is 120,000.

1. What is the population in 5 years? Round to the nearest whole number.

Which option is exponential growth?

• Option 1
• Option 2

At the beginning of the year, the number of books owned by a library was 7,000. Since then, it has grown by 1% every 3 months.

Write an expression to represent the number of books, in thousands, owned by the library 5 years later if it continues to grow at that rate.

The equation  y = 75(1.2)^x describes the number of staff since 1998.
What 'x' would you use if you wanted to calculate the number of staff in 2005?

• x = 2005
• x = 7
• x = 5
• x = 1998

Organize these options into the right categories

Groups:

(a) Decreases by 32%

,

(b) Does not decrease by 32%

• f(x)=(1-0.32)^x

• f(x)=0.32^x

• f(x)=0.68^x

• f(x)=68^x

• f(x)=32^x

• f(x)=(1-0.68)^x

Which equation shows 
"The cell population of 200 is growing by 20 percent each hour"?

• P(h) = 200 (.20)^h
• P(h) = 200 (20)^h
• P(h) = 200 (1.20)^h
• P(h) = 200 (.80)^h

Which of the following is an exponential function?

A savings account earns a nominal interest rate of 6% interest each year, compounded monthly. If a person invests $1500 and makes no further deposits or withdrawals, what is the balance in the account after 7 years? (to the nearest cent)