Final answer:
To solve the proportion 11/12 = x/15, cross multiply to get 165 = 12x. Divide both sides by 12 to find x = 13.75, which is the correct answer.
Step-by-step explanation:
To solve the proportion given by 11/12 = x/15, you need to cross multiply to find the value of x. By cross multiplying, we have 11 * 15 = 12 * x. Simplify this to 165 = 12x. Then, divide both sides by 12 to isolate x, so x = 165 / 12. By performing the division, we find that x = 13.75.
In summary, the value of x that solves the proportion 11/12 = x/15 is x = 13.75, making option b) x = 13.75 the correct answer.