To build a road, a company charges a flat fee plus a fee that varies depending on the number of kilometers of road built. The cost of the work is described by a graph that passes through points (0, 2) and (12, 7), in millions of reais, depending on the number of kilometers built. Therefore, determine the law that represents this function.

y = 5/12 x + 2

Step-by-step explanation:

We need to find the equation of a line that passes through two given points.

y = mx + b

First, we find the slope.

m = slope = (y2 - y1)/(x2 - x1)

m = (7 - 2)/(12 - 0) = 5/12

Now we have

y = 5/12 x + b

To find the value of b, we use a point for x and y and solve for b.

y = (5/12)x + b

2 = (5/12)(0) + b

b = 2

The equation is

y = 5/12 x + 2

c

step-by-step explanation: