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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=1000x
A 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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