Question

2. A manufacturer earns Rs. 3500 in the first month, Rs. 5000 in the second month. On plotting these points, the manufacturer observes a linear function may fit to the data. Determine the linear function that fits to the data

Answer 1

The linear function that fits the data is y = (1 / 1500)x + 8/15.

Step-by-step explanation:

In order to find the linear function that fits the data, we need to determine the equation of the line that passes through the two given points (3500, 1) and (5000, 2).

We can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope:

m = (y2 - y1) / (x2 - x1) = (2 - 1) / (5000 - 3500) = 1 / 1500.

Next, we can substitute the slope and one of the points into the equation to solve for the y-intercept:

1 = (1 / 1500) * 3500 + b

b = 1 - (1 / 1500) * 3500 = 1 - 7/15 = 8/15.

Therefore, the linear function that fits the data is y = (1 / 1500)x + 8/15.