Question

How do you write the inverse variation equation given $x=16$ ,$y=1$ ?

Answer 1

Hint: Here in this question we have been asked to write the inverse variation equation for the given values of $x$ and $y$ that is $x=16,y=1$ . From the basic concepts we know that the general form of inverse variation equation is given as $x=K\dfrac{1}{y}$ where $K$ is a constant.

Complete step-by-step solution:
Now considering from the question we have been asked to write the inverse variation equation for the given values of $x$ and $y$ that is $x=16,y=1$ .
From the basic concepts we know that the general form of inverse variation equation is given as $x=K\dfrac{1}{y}$ where $K$ is a constant.
So now we can say that a point $\left( 16,1 \right)$ satisfies the given expression $x=K\dfrac{1}{y}$ . So now we need to evaluate the value of $K$ . By substituting the point we will have $16=K\dfrac{1}{1}\Rightarrow K=16$ Therefore we can conclude that when it is given $x=16$ ,$y=1$ the inverse variation equation will be given as $x=16\dfrac{1}{y}$ .

Note: During the process of answering questions of this type we should be very careful with the calculations that we are going to perform and the concepts that we are going to apply in between the steps. This is a very simple and easy question and can be answered accurately in a short span of time. Very few mistakes are possible in questions of this type. Alternatively the general form of inverse variation equation can be written as $xy=K$ now also we will have the same value of constant and the answer will be $xy=16$ .