Exponential Models Involving Natural Base E

Scientists have been monitoring and studying a specific animal population. They have found that the number of animals in the population can be modeled by the following exponential equation: P=1232(.8913)^t Determine which of the following statements are correct about this population. Select all that apply

• This population is in no danger of extinction

• Without intervention, the population will be extinct in 62 years.

• The population is increasing at a rate of 10.87%

• The population is decreasing at a rate of 10.87%

• In ten years the population will be 390

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

• linear

• quadratic

• exponential

• none of the above

Solve 5e^{3x - 2} + 15 = 35

• 13

• 29

• 10

• 0.87

Solve for x:
5 e^6x+3 = 0.1

• -1.152

• 0.232

• -3.077

• -0.854

Solve 5e^{3x - 2} + 15 = 35

• 13

• 29

• 10

• 0.87

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Is this exponential growth or decay?

• Growth

• Decay