The question states that the volume in milliliters, $m$, for a volume of $f$ fluid ounces is equal to $29.57 \times f$. This gives us the formula:

$m = 29.57 \times f$

Let's analyze each table option based on this formula:

• Table A:

  f = 1, &\quad m = 29.57 \times 1 = 29.57 \\ f = 2, &\quad m = 29.57 \times 2 = 59.14 \\ f = 3, &\quad m = 29.57 \times 3 = 88.71 \\ f = 4, &\quad m = 29.57 \times 4 = 118.28 \\ \end{aligned}$$ This table matches the equation perfectly.

• Table B: The values for $f$ and $m$ are swapped, so it does not match the equation.

• Table C:

  f = 1, &\quad m = 29.57 \quad (\text{correct}) \\ f = 2, &\quad m = 59.14 \quad (\text{correct}) \\ f = 3, &\quad m = 88.71 \quad (\text{correct}) \\ \end{aligned}$$ But $$f = 4$$ is missing, so this table is incomplete.

• Table D: This table also swaps the values for $f$ and $m$, so it does not match.

Conclusion: The correct answer is Table A, as it properly reflects the equation $m = 29.57 \times f$.

Would you like further details or have any questions? Here are some related questions:

1. What is the process to convert other fluid volumes to milliliters?
2. How does dimensional analysis work when converting units like fluid ounces to milliliters?
3. Could you use the same table structure for converting milliliters to fluid ounces?
4. What happens if you need to convert fluid ounces to liters instead of milliliters?
5. Can you generalize the formula for any other volume conversions?

Tip: When analyzing tables or graphs, always check if the variables are correctly labeled and follow the given formula.