Given Functions F and G, Perform the Indicated Operations $\mathrm { f } ( \mathrm { t } ) = - 0.14 \mathrm { t } ^ { 2 } + 0.5 \mathrm { t } + 30.2$

question 289

Multiple Choice

Given functions f and g, perform the indicated operations.
-The function $\mathrm { f } ( \mathrm { t } ) = - 0.14 \mathrm { t } ^ { 2 } + 0.5 \mathrm { t } + 30.2$ models the U.S. population in millions, ages 65 and older, where $t$ represents years after 1990 . The function $g ( t ) = 0.53 t ^ { 2 } + 11.96 t + 107.1$ models the total yearly cost of Medicare in billions of dollars, where $t$ represents years after 1990 . What does the function $\frac { g } { f }$ represent?
Find $\frac { g } { f } ( 10 )$ .

• A) Cost per person in thousands of dollars. \(\$ 13.19\) thousand
• B) Cost per person in thousands of dollars. \(\$ 0.18\) thousand
• C) Cost per person in thousands of dollars. \(\$ 0.08\) thousand
• D) Cost per person in thousands of dollars. \(\$ 9.08\) thousand

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