Final answer:
The correct answer is option c. Solving the expression "twelve more than the quotient of a number and two, decreased by four" for n=4 involves dividing 4 by 2, then adding 12, and finally subtracting 4, which results in the value of 10.
Step-by-step explanation:
The question asks for the value of "twelve more than the quotient of a number and two, decreased by four" when the value of the number (n) equals 4. To solve this, we first determine the quotient of the number and two, which is n/2. Plugging in n = 4, we get 4/2, which equals 2.
According to the description, we then need to add twelve to this quotient, resulting in 2 + 12, which is 14. Finally, we decrease this value by four, which gives us 14 - 4. Therefore, the answer is 14 - 4 = 10.