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