Step 1: Understand the matching.
We must pair (a) economic growth, (b) economic development, (c) human capital, (d) poverty, (e) inequality with their definitions.
Step 2: Match economic growth.
Economic growth is the quantitative rise in output, usually measured by GDP, giving $a \rightarrow I$.
Step 3: Match economic development.
Economic development is the qualitative rise in living standards, giving $b \rightarrow II$.
Step 4: Match human capital.
Human capital is the stock of skills and knowledge built through education and health, giving $c \rightarrow III$.
Step 5: Match poverty and inequality.
Poverty is the lack of minimum consumption needs, giving $d \rightarrow IV$, and inequality is the uneven distribution of income and wealth, giving $e \rightarrow V$.
Step 6: Assemble and select.
The natural one-to-one order $a\text{-}I, b\text{-}II, c\text{-}III, d\text{-}IV, e\text{-}V$ is option A.
\[ \boxed{a\text{-}I,\ b\text{-}II,\ c\text{-}III,\ d\text{-}IV,\ e\text{-}V} \]