Answer :
We start with the function defined by the set of pairs:
$$
(7, 21),\; (10, 30),\; (13, 39),\; (16, 48).
$$
To determine the inverse function, we swap the $x$-values with the $y$-values. This gives us the following pairs for the inverse:
$$
(21, 7),\; (30, 10),\; (39, 13),\; (48, 16).
$$
This new set shows that in the inverse function, the $x$-values are $21$, $30$, $39$, and $48$, and the corresponding $y$-values are $7$, $10$, $13$, and $16$. Comparing with the answer choices, we see that option A is represented by:
$$
\begin{array}{|c|c|c|c|c|}
\hline
x & 21 & 30 & 39 & 48 \\
\hline
y & 7 & 10 & 13 & 16 \\
\hline
\end{array}
$$
Thus, option A is the correct answer.
$$
(7, 21),\; (10, 30),\; (13, 39),\; (16, 48).
$$
To determine the inverse function, we swap the $x$-values with the $y$-values. This gives us the following pairs for the inverse:
$$
(21, 7),\; (30, 10),\; (39, 13),\; (48, 16).
$$
This new set shows that in the inverse function, the $x$-values are $21$, $30$, $39$, and $48$, and the corresponding $y$-values are $7$, $10$, $13$, and $16$. Comparing with the answer choices, we see that option A is represented by:
$$
\begin{array}{|c|c|c|c|c|}
\hline
x & 21 & 30 & 39 & 48 \\
\hline
y & 7 & 10 & 13 & 16 \\
\hline
\end{array}
$$
Thus, option A is the correct answer.
