Suppose that y varies inversely as x. If y = 63 when x = 3, the constant of variation is 189. True Or False?
so y = k/x
sub in the values
63 = k/3
k = 189
so .......
To determine if the statement is true or false, we need to use the inverse variation formula and check if the given values satisfy it.
The inverse variation formula is: y = k/x, where k is the constant of variation.
Let's substitute the given values into the equation:
63 = k/3
To find the value of k, we need to isolate it. To do that, we cross-multiple and solve for k:
k = 63 * 3
k = 189
Since the value of the constant of variation k is indeed 189, it means the statement is true.
Therefore, the correct answer is: True.