f(x) varies inversely with x and f(x) = –10 when x = 5. What is the inverse variation equation?
is the answer f(x)= -2/x ?
f(5)=a/5=-10
a=-50
f(x)=-50/x
To find the inverse variation equation, we know that f(x) varies inversely with x, which means the product of f(x) and x is always a constant.
Let's call that constant k. So, we have the equation f(x) * x = k.
We can substitute the given values into the equation to find the value of k. We know that when x = 5, f(x) = -10.
So, -10 * 5 = k, which gives us k = -50.
Now, we can substitute the value of k into the equation to obtain the final inverse variation equation:
f(x) * x = -50.
Dividing both sides of the equation by x, we get f(x) = -50/x. Therefore, the correct inverse variation equation is f(x) = -50/x, not f(x) = -2/x.