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Question

What is the relation between time and number of items sold in the given graph?

A
y=x
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B
y=10x
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C
y=1000x
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D
y=100x
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Solution

The correct option is C y=1000xA proportional relationship between input (x) and output (y) can be represented by the equation y = mx Where, "m"=rate of change=yx Here, "y" is number of items sold and "x" is time. Choose a point, let say (2,2). Here, the number of items sold is in thousands. So, value of y will be 2 × 1000 = 2000. ∴ Slope, m=yx=20002=1000 So, the equation for the proportional relationship for the graph is y=1000x.

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