Final answer:
To find the ratio y/x given the equation (4x)/(3y) = 1/4, we rearrange and solve to obtain y/x = 16/3, corresponding to option C.
Step-by-step explanation:
We are given the equation (4x)/(3y) = 1/4 and we need to find the value of the ratio y/x. We can rearrange the given equation to solve for y/x. Multiply both sides by 3y to get 4x = 3y/4. Then, divide both sides by x and multiply by 4 to isolate y/x:
(4x)/(x) = (3y/4)/(x)
4 = 3y/(4x)
y/x = 16/3
Therefore, the value of the ratio y/x is 16/3, which corresponds to option C. To find the value of the ratio y/x, we can rearrange the given equation (4x)/(3y) = 1/4 to solve for y/x. Cross multiplying gives us 4x = 3y. Dividing both sides by 3x gives us y/x = 4/3. Therefore, the value of the ratio y/x is B. 4/3.