Final answer:
To find the value of c in the function g(x) = c/6x when g(5) = 6, we solve the equation 6 = c/30 which results in c being 180, not matching any of the provided options.
Step-by-step explanation:
The student is asking to solve for the constant c in the function g(x) = c/6x given that g(5) = 6. To find the value of c, we substitute x with 5, and set g(x) equal to 6, which gives us the equation 6 = c/30. Multiplying both sides by 30, we get c equal to 180. Therefore, the none of the provided options (a. 2, b. 3, c. 4, d. 5) are correct; the value of c is actually 180.