y is inversely proportional to x and y and 6 when x = 7. Find the constant of the variation

Answer Details

When two quantities, such as x and y, are inversely proportional, it means that as one quantity increases, the other quantity decreases at a consistent rate. In mathematical terms, we can write the inverse proportionality as: y = k/x where k is a constant of variation that relates the two quantities. To find the constant of variation, we can use the given information that "y and 6 when x = 7". Substituting these values into the equation, we get: 6 = k/7 Multiplying both sides by 7, we obtain: k = 42 Therefore, the constant of variation is 42, and the answer is.