The linear function of best fit for the information on the graph is:
f(x) = 200x + 100.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The function on the graph goes through points (3,700) and (4,900), that is, when x changes by 1, y changes by 200, which means that the slope is of 200 and the function is:
f(x) = 200x + b.
When x = 3, f(x) = 700, hence we use it to find b.
700 = 200(3) + b
b = 100.
Hence the function is:
f(x) = 200x + 100.
More can be learned about linear functions at https://brainly.com/question/24808124
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