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:

Astrocytes

Star-shaped glial cells in the brain and spinal cord involved in physical support, repair, and nutrient transport within the central nervous system.

Node

A point of intersection or a junction between different elements or structures, often used in contexts of networks or biological processes.

Myelinated Axon

Nerve fiber having a myelin sheath.

Action Potentials

Rapid, temporary changes in the electrical charge of a cell's membrane, essential for nerve signal transmission.