Solve the Problem $f ( t ) = - 0.14 t ^ { 2 } + 0.49 t + 31.3$

question 1

Multiple Choice

Solve the problem.
-The function $f ( t ) = - 0.14 t ^ { 2 } + 0.49 t + 31.3$ models a certain country's population in millions, ages 65 and older, where $t$ represents years after 2010 . The function $g ( t ) = 0.54 t ^ { 2 } + 11.84 t + 108.1$ models the total yearly cost of the government's health insurance program in billions of dollars, where t represents years after 2010. What does the function $\frac { g } { f }$ represent? Find $\left( \frac { g } { f } \right) ( 5 )$ .

• A) Cost per person in thousands of dollars. $5.98 thousand
• B) Cost per person in thousands of dollars. $0.17 thousand
• C) Cost per person in thousands of dollars. $0.21 thousand
• D) Cost per person in thousands of dollars. $12.22 thousand

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Definitions:

Board of Governors

The executive leadership of the Federal Reserve System, responsible for the formulation of monetary policies in the United States.

Federal Reserve

The central banking system of the United States, responsible for setting monetary policy.

Term

A fixed or limited period for which something, e.g., office, investment, or a condition, lasts or is intended to last.

Reserve Ratio

The fraction of deposits a bank must hold in reserve and not lend out, as dictated by central banking regulations.