If y varies inversely as x,find the inverse variation equation for the situation y=65 when x=9
y varies inversely as x
y = k/x, where k is a constant
given: when x=9, y = 65
65 = k/9
k = 585
so y = 585/x
To find the inverse variation equation, we can use the formula:
y = k/x
where k is the constant of variation.
Given that y = 65 when x = 9, we can substitute these values into the equation:
65 = k/9
To find the value of k, we can solve for it by multiplying both sides of the equation by 9:
65 * 9 = k
k = 585
Now we have the value of k, we can substitute it back into the equation to get the inverse variation equation:
y = 585/x
To find the inverse variation equation, we can start by writing the inverse variation equation in the form:
y = k/x
where k is the constant of variation.
To find the value of k, we can substitute the given values of x=9 and y=65 into the equation.
65 = k/9
To isolate k, we can multiply both sides of the equation by 9:
585 = k
Now we have the value of k, which is 585.
Therefore, the inverse variation equation is:
y = 585/x