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A manufacturer earns Rs4500 in the first month and Rs 6000 in second month. On plotting these points a manufacturer observes a linear function. Find the linear function that fits in data?

Sagot :

MrRoyalidn

Answer:

[tex]f(x) = 1500x +3000[/tex]

Step-by-step explanation:

Given

Represent the months with x and the earnings with y.

So:

[tex](x_1,y_1) = (1,4500)[/tex]

[tex](x_2,y_2) = (2,6000)[/tex]

Required

Determine the linear function

First, calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6000 - 4500}{2 - 1}[/tex]

[tex]m = \frac{1500}{1}[/tex]

[tex]m = 1500[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 1500(x - 1) + 4500[/tex]

[tex]y = 1500x - 1500 + 4500[/tex]

[tex]y = 1500x +3000[/tex]

As a function, we have:

[tex]f(x) = 1500x +3000[/tex]

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