Solve the Problem $f ( t ) = 0.008 t ^ { 2 } + 2.1 t + 175$

question 363

Multiple Choice

Solve the problem.
-The population of a certain country since 1990 can be approximated by $f ( t ) = 0.008 t ^ { 2 } + 2.1 t + 175$ where $f ( t )$ is the population in millions and $t$ represents the number of years since 1990 . Find the average rate of change in the country's population between 1990 and 2010 . Round to 1 decimal place.

• A) \(2.3\) million/yr
• B) \(2.0\) million/yr
• C) \(2.5\) million \(/ \mathrm { yr }\)
• D) \(2.9 \mathrm { million } / \mathrm { yr }\)

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Definitions:

Vertical Mixing

The process of mixing layers of water in oceans or lakes due to external forces like wind or temperature gradients, affecting nutrient distribution and temperature profiles.

Westerly

Winds or weather systems that move from west to east, common in the mid-latitudes due to the rotation of the Earth and atmospheric conditions.

Prevailing Winds

Winds that blow predominantly from a single general direction over a particular point on Earth's surface.

Nitrogen

A colorless, odorless, tasteless gas that is the most abundant element in Earth's atmosphere, essential for plant and animal life.