Solve the Problem $20.7$ Million and on January 1, 2010, It Has Risen To 1

question 291

Multiple Choice

Solve the problem.
-The population of a country on January 1, 2000, is $20.7$ million and on January 1, 2010, it has risen to $22.6$ million. Write a function of the form $P ( t ) = P _ { 0 } e ^ { r t }$ to model the population $P ( t )$ (in millions) $t$ years after January 1, 2000. Then use the model to predict the population of the country on January $1,2,017$ . round to the nearest hundred thousand.

• A) \(P = 20.7 e ^ { 0.00878 t } ; 24\) million
• B) \(P = 22.6 e ^ { 0.00878 t } ; 130\) million
• C) \(P = 22.6 e ^ { 0.00878 t } ; 26.2\) million
• D) \(P = 20.7 e ^ { 0.00878 t } ; 119\) million

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Definitions:

N2 Sleep

A stage of sleep characterized by sleep spindles and K-complexes, marking a deeper sleep than N1 and preceding the deeper states of N3 and REM sleep.

REM Sleep

A unique phase of sleep in mammals and birds, characterized by rapid movement of the eyes, low muscle tone throughout the body, and the propensity of the sleeper to dream vividly.

Sleep Spindles

Bursts of oscillatory brain activity visible on an EEG that occur during stage 2 of NREM sleep, believed to play a role in learning and memory consolidation.

N1 Sleep

The initial stage of sleep in a typical sleep cycle, characterized by light sleep from which one can be easily awakened.