If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12

This problem involves an inverse variation, which means that as one variable increases, the other variable decreases, and vice versa. The relationship between the variables can be expressed as: y = k/x where k is the constant of variation. To solve for the value of k, we can use the given information that x = 3 when y = 4: 4 = k/3 Multiplying both sides by 3 gives: k = 12 Now that we know the constant of variation, we can use it to find the value of x when y = 12: 12 = 12/x Multiplying both sides by x gives: 12x = 12 Dividing both sides by 12 gives: x = 1 Therefore, when y = 12, x = 1. Option (B) is the correct answer.