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 $$y = 3 e ^ { \cdot 04 x }$$ , 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 "When will the population reach 4 million?"
A) Evaluate $y = 3 \mathrm { e } ^ { \cdot 04 ( 1 / 4 ) }$.
B) Solve $3 \mathrm { e } ^ { .04 \mathrm { x } } = 12$
C) Evaluate $\mathrm { y } = 3 \mathrm { e } ^ { .04 ( 4 ) }$
D) Solve $3 \mathrm { e } ^ { \cdot 04 \mathrm { x }} = 4$

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 $$y = 3 e ^ { \cdot 04 x }$$ , 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 "When will the population reach 4 million?" 
A) Evaluate $y = 3 \mathrm { e } ^ { \cdot 04 ( 1 / 4 ) }$.
B) Solve $3 \mathrm { e } ^ { .04 \mathrm { x } } = 12$
C) Evaluate $\mathrm { y } = 3 \mathrm { e } ^ { .04 ( 4 ) }$
D) Solve $3 \mathrm { e } ^ { \cdot 04 \mathrm { x }} = 4$

Quizplus · Accepted Answer

To find when the population will reach 4 million, we need to solve for $x$ in the equation $3e^{.04x} = 4$, where $y = 4$ million represents the target population size.

Choose the One Alternative That Best Completes the Statement or Answers