Exponents and Exponential Functions Review Worksheet

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

Which option is exponential growth?

• Option 1
• Option 2

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

USE THE CALCULATOR:
The equation  y = 75(1.2)^x describes the number of staff since 1998. 
What is an approximate number of staff in the year 2005?

• 269
• 187

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 equation shows 
"The cell population of 200 is reducing 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

The value of an investment is modeled by the function y = 125 (1.4)^x. Which statement is true

• The value of the investment will increase over time
• The value of the investment will decrease over time
• The value of the investment will remain the same

Simplify             (7x⁴)(9x³)

• 16x¹²
• 16 x⁷
• 63x⁴⁺³ = 63x⁷
• 63x^4*3 = 63x¹²  

How would you change this to a positive exponent:
1/x^-3

• 1/x³
• x³
• 3x
• 1/3x

What should you do with the exponents in order to simplify this expression?
(c⁵)(c³)(c³)

• Subtract them
• Multiply them
• Add them
• Divide them