Answered

IDNLearn.com: Your trusted source for finding accurate answers. Ask your questions and receive accurate, in-depth answers from our knowledgeable community members.

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]

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.