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

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