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.