Choose the one alternative that best completes the statement or answers the question.
-A population is increasing according to the exponential function defined by y $$y = 3 e ^ { - 04 x }$$ , where y is in millions and x is the number of years. Which of the following should be done in order to answer
The question "How long will it take for the population to quadruple?"
A) Solve $3 e ^ { \cdot 04 x } = 4$
B) Solve $3 e ^ {\cdot 04 x} = 12$.
C) Evaluate $y = 3 \mathrm { e } ^ { .04 ( 1 / 4 ) }$
D) Evaluate y $= 3 \mathrm { e } ^ { .04 ( 4 ) }$.

Question

Choose the one alternative that best completes the statement or answers the question.
-A population is increasing according to the exponential function defined by y $$y = 3 e ^ { - 04 x }$$ , where y is in millions and x is the number of years. Which of the following should be done in order to answer
The question "How long will it take for the population to quadruple?" 
A) Solve $3 e ^ { \cdot 04 x } = 4$
B) Solve $3 e ^ {\cdot 04 x} = 12$.
C) Evaluate $y = 3 \mathrm { e } ^ { .04 ( 1 / 4 ) }$
D) Evaluate y $= 3 \mathrm { e } ^ { .04 ( 4 ) }$.

Quizplus · Accepted Answer

To find out how long it will take for the population to quadruple, you need to solve for the time it takes for the initial population (3 million) to become four times larger, which is 12 million. Therefore, you solve the equation $3 e^{.04x} = 12$.

Choose the One Alternative That Best Completes the Statement or Answers