Finite Math Examples

Find the Equation that Relates x and y y=10 , x=40
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Step 1
When two variable quantities have a constant ratio, their relationship is called a direct variation. It is said that one variable varies directly as the other. The formula for direct variation is , where is the constant of variation.
Step 2
Solve the equation for , the constant of variation.
Step 3
Replace the variables and with the actual values.
Step 4
Cancel the common factor of and .
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Step 4.1
Factor out of .
Step 4.2
Cancel the common factors.
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Step 4.2.1
Factor out of .
Step 4.2.2
Cancel the common factor.
Step 4.2.3
Rewrite the expression.
Step 5
Use the direct variation model to create the equation.
Step 6
Substitute the value of into the direct variation model.
Step 7
Simplify the result to find the direct variation equation.