To find the quotient of 4 and -48, we can perform the division:
\[ \frac{4}{-48} = -\frac{1}{12} \]
Now, let's evaluate the options based on this quotient:
A. The quotient is a rational number.
- This statement is true because \(-\frac{1}{12}\) can be expressed as a fraction.
B. The quotient is undefined.
- This statement is false because division by a non-zero number (in this case, -48) is defined.
C. The quotient is an irrational number.
- This statement is false since -\(\frac{1}{12}\) is a rational number.
D. The quotient is an integer.
- This statement is false as well because -\(\frac{1}{12}\) is not an integer.
Therefore, the correct answer is: A. The quotient is a rational number.