Introduction to Inverse Variation Calculator
Inverse variation Calculator is an online tool that helps you find the solution to inverse variation problems between two variables.
Inversely proportional calculator determines the relationship between two quantities where one quantity is dependent on another independent quantity but they are inversely proportional in less than a minute.
What is Inverse Variation?
Inverse variation is a relationship between two quantities that inversely varies with respect to a change in one quantity to another.
It means that if there is an increase occurring in one quantity then the other quantity will decrease naturally. Same as if one quantity decreases then the other quantity is also increases due to an inverse relation between these two quantities.
Formula Used by Inverse Proportion Calculator
For inverse variation, there is a notation used “⍺“ that shows inverse proportionality between two variables numbers and proportionality sign removed by a constant value. The Inverse variation Calculator uses the following formula to solve inverse proportion problems,
$$ y \alpha \frac{1}{x} $$
$$ y \;=\; \frac{k}{x} $$
- y is the dependent variable
- x is the independent variable on x
- k is the constant of inverse variation
Working Method of Inversely Proportional Calculator
Inverse proportion calculator uses the simplest method to calculate the relationship between two variables that are inversely proportional to each other. It has a built-in feature where an inverse variation formula is used that gives different types of input values solutions immediately.
When you add the input value to the inverse variation equation calculator, it checks the given input values. After checking the input data it applies the inverse variation formula where it finds the constant k with the help of the given value of x and y in it. Now you have the k value and the second value of x.
Again varies inversely calculator applies the formula and adds the k and x values to get the value of y. You can get the solution of the unknown variable y value in a few seconds.
You can learn more about this y varies inversely with x calculator working mechanism and get an in-depth understanding of this concept with an example of inverse variation that is given below.
Solved Example of Inverse Variation Problem
An example with the solution of the inverse variation problem is given below to let you know about the manual calculation. As the Inverse variation Calculator can solve your inverse problems but it’s important to understand each step,
Example:
An inverse proportion relation such that, when x = 8, then y = 20. Then find the inverse variation between y and x when x = 5 and y=?.
Solution:
The formula for inverse variation:
$$ y \;=\; \frac{k}{x} $$
Substitute the given values:
$$ y \;=\; 20\; when\; x\;=\; 8 $$
$$ 20 \;=\; \frac{k}{8} $$
Solve the constant,
$$8(20) \;=\; 8 \biggr( \frac{k}{8} \biggr) $$
$$ 160 \;=\; k $$
$$ y \;=\; \frac{k}{x} $$
$$ y \;=\; \frac{160}{5} $$
$$ y \;=\; 32 $$
How to Use the Inverse Variation Calculator
Inverse proportion calculator has a simple design tool that allows you to use it to calculate the two variables that have inverse proportionality in the run of time.
Before entering the input function into the inversely proportional calculator, you must follow some simple steps so that you get a smooth experience during the calculation. These steps are:
- Enter the first value y in inverse variation solver’s respective input box.
- Enter the value of x in the input box.
- Enter the second value of y in the input field of indirect variation calculator.
- Review your inverse variation function before hitting the calculate button to start the evaluation process.
- Click the “Calculate” button to get the result of your given inverse Variation problem.
- If you want to try out our inverse variation table calculator the first time then you can use the load example to get conceptual clarity
- Click on the “Recalculate” button to get a refresh page for more solutions of inverse Variation problems
Final Result of Inverse Variation Equation Calculator
Inverse variation Calculator gives you the solution to a given inverse variation problem when you add the input function to it. It provides you with solutions with a detailed procedure instantly. It may contain as:
- Result option
Result option gives you a solution for the unknown value of y when you find a constant value of k from the given quantities
- Possible steps
It provides you solution with all the evaluation processes in steps of the inverse variation problem when you click on this option.
Benefits of Using an Varies Inversely Calculator
Inverse proportion calculator provides you with multiple benefits whenever you use it to calculate the inverse variation problems and gives a solution to an unknown y variable. These benefits are:
- Inversely proportional calculator is a free-of-cost tool so you can use it to find the inverse relationship between two quantities in real time.
- Inverse variation equation calculator is a versatile tool that allows you to get the solution of various types of inverse variation problems
- You can check out our y varies inversely with x calculator to practice more examples so that you get a strong hold on the inverse Variation concept
- Our inverse variation table calculator saves you time and effort from doing inverse variation calculations.
- It is a trustworthy tool that provides you with accurate solutions every time whenever you use it to calculate inverse variation examples.
- Inverse variation calculator provides the solution with a complete process in a step-by-step method so that you get a better understanding of the inverse proportional problems
