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I am trying to make a study guide and need step by step explanation of this question please

I am trying to make a study guide and need step by step explanation of this question-example-1

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Answer:


\text{Option}\Rightarrow\text{ Only }IV

Step-by-step explanation: It is known that as x increases the value of they should decrease, this means that if we start with the following values of the x and y:


\begin{gathered} x=0 \\ y=10 \end{gathered}

Assuming that for each increase in "x" value, the value of the "y" should decrease exactly by 1 unit, this means that the next four "decreases" in the "y" value would be as follows:


\begin{gathered} (x,y)\Rightarrow(0,10) \\ (x,y)\Rightarrow(1,9) \\ (x,y)\Rightarrow(2,8) \\ (x,y)\Rightarrow(3,7) \\ (x,y)\Rightarrow(4,6) \end{gathered}

Plotting these four coordinates on a graph gives the following result:

The graph indicates that the answer should be "Only IV" option .

I am trying to make a study guide and need step by step explanation of this question-example-1
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