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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Definitions:

Cladogram

A branching diagram that illustrates taxonomic relationships based on the principles of cladistics.

Relationships

The way in which two or more concepts, objects, or people are connected, or the state of being connected.

Organisms

Any individual living entity that can react to stimuli, reproduce, grow, and maintain homeostasis.

Autotrophic Organisms

Organisms capable of synthesizing their own food from inorganic substances using light or chemical energy.