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The Budget Line

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Question

An internet cafe charges a one time service fee of ₹5, as shown in the graph.The linear equation for the above graph is

A

x=2y+5

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B

y=5x+2

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C

y=2x+5

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Solution

The correct option is C y=2x+5
Here from the graph,
Unit rate = Slope = m = $\frac{y_{2} - y_{1}}{x_{2} - x 1}$ = $\frac{12 - 7}{3.5 - 1}$
m $= 2$
Subsituting m in y = mx+c
we get,
Ans: y = $2 x + 5$ $∵ c = 5$

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