Graphs are used to show the relationship between two variables. In the given graph, as the value of x increases, the value of y decreases.
Given that:
[tex]y = \frac{10}{x}[/tex]
The above function is an inverse function.
This means that:
As the value of x increases, the value of y decreases
Take for instance:
[tex]x= 1[/tex]
[tex]y = \frac{10}{1} = 10[/tex]
Now, [tex]x = 2[/tex]
[tex]y = \frac{10}{2} = 5[/tex]
Notice that:
As x increases from 1 to 2, the corresponding values of y decreases from 10 to 5
Hence, (b) is correct
Read more about graphs at:
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