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Question

# The given graph shows the relation between time and number of downloads of two songs. represent(s) a linear graph.

A
None of the graph
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B
Graph of Song 1
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C
Both of the graphs
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D
Graph of Song 2
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Solution

## The correct option is D Graph of Song 2For Song 1: From the graph, we observe: Consider any two points, say (0,2) and (1,4) Slope=Change in yChange in x=4×1000 − 2×10001 − 0 [Multiply "y" values with 1000 as "y" is given in] [thousands] ∴ Slope = 2000 Consider other two points, (1,4) and (2,4). Slope=Change in yChange in x=4×1000 − 4×10002 − 1 ∴ Slope = 0 Slope of the graph varies, hence it is not a linear function. For Song 2: From the graph, we observe​​​​​: Consider any two points, say (2,0) and (3,2) Slope=Change in yChange in x=2×1000 − 0×10003 − 2 [Multiply "y" values with 1000 as "y" is given in] [thousands] ∴ Slope = 2000 As, it is straight line, slope remains constant. Hence, it is a linear function.

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