Pedro says that the graph represents an inverse variation. Is he correct? Explain.
Answer to Problem 47PPE
No.
Explanation of Solution
Given Information:
While graphing a certain function, Pedro sees that the value of y decreases by 2 whenever the value of x increases by 1.
Concept Used:
- Mathematically relationship between two variables that can be expressed by an equation in which one variable is equal to constant times the other variable is called direct variation.
- Mathematically relationship between two variables that can be expressed by an equation in which the product of two variable is constant is called inverse variation.
Calculation:
According to question the value of y decreases by 2 whenever the value of x increases by 1.
Pedro is incorrect because in inverse variation the product of two variables always remains constant but in this case it is no constant.
For example
So Pedro is incorrect, it is not a inverse variation.
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