Answer: D. $7$ years after James purchased the baseball card, its predicted value is approximately $72$ dollars.

Explanation:

$1$ . Understand the function notation and variables:

   - $x$ represents the number of years after James purchased the card.

   - $f(x)$ represents the predicted value of the card in dollars.

$2$ . Analyze the statement "$f(7)$ is approximately equal to $72$":

   - The value inside the parenthesis is the input, so $x = 7$ years.

   - The result of the function is the output, so the predicted value $f(7)$ is approximately $$72$.

$3$ . Combine the interpretations into a single sentence:

   - At $7$ years after the purchase, the predicted value of the card is approximately $$72$.

$4$ . Conclusion:

   - This directly matches the statement in option D.