Concept explainers
Suppose
when
To find : direct variation equation and its graph that relates x and y
Answer to Problem 21P
The direct variation equation that relations x and y is
Explanation of Solution
Given information :
Concept Involved:
Use the fact that if “ y varies directly with x ” then the equation relating x and y is
Calculation: Use the fact that if “ y varies directly with x ” then the equation relating x and y is
Substitute
Solve for k
Use the symmetric property of identity which states that if a=b, then b=a to rewrite the equation
To get k alone divide by 3 on both sides of the equation
Simplify fraction on both sides
Back Substitute the k value in equation
To graph the equation, identify any two points satisfying the equation by picking some x values substituting in equation and finding the corresponding y value.
Graph:
Conclusion:
The direct variation equation that relations x and y is
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