Write the word or phrase that best completes each statement or answers the question.
-A population is increasing according to the exponential function defined by $\mathrm { y } = 3 \mathrm { e }^{ \cdot 04 x }$, where $\mathrm { y }$ is in millions and $x$ is the number of years. Which of the following should be done in order to answer the question "How large will the population be in 3 months?"
A) Solve $3 \mathrm { e }^{ \cdot 04 x } = 1 / 4$.
B) Solve $3 \mathrm { e } ^{\cdot 04 x } = 3$.
C) Evaluate $y = 3 e ^ { 004 ( 1 / 4 ) }$.
D) Evaluate $\mathrm { y } = 3 \mathrm { e }^{ \cdot 04 ( 3 )}$.

Question

Write the word or phrase that best completes each statement or answers the question.
-A population is increasing according to the exponential function defined by $\mathrm { y } = 3 \mathrm { e }^{ \cdot 04 x }$, where $\mathrm { y }$ is in millions and $x$ is the number of years. Which of the following should be done in order to answer the question "How large will the population be in 3 months?"
A) Solve $3 \mathrm { e }^{ \cdot 04  x } = 1 / 4$.
B) Solve $3 \mathrm { e } ^{\cdot 04 x } = 3$.
C) Evaluate $y = 3 e ^ { 004 ( 1 / 4 ) }$.
D) Evaluate $\mathrm { y } = 3 \mathrm { e }^{ \cdot 04 ( 3 )}$.

Quizplus · Accepted Answer

To find the population in 3 months, convert 3 months to a fraction of a year (3/12 = 1/4 year) and substitute $x = 1/4$ into the exponential function.

Write the Word or Phrase That Best Completes Each Statement y=3e⋅04x\mathrm { y } = 3 \mathrm { e }^{ \cdot 04 x }y=3e⋅04x

Write the Word or Phrase That Best Completes Each Statement $\mathrm { y } = 3 \mathrm { e }^{ \cdot 04 x }$