Respuesta :
The linear function, in point-slope form, that models the situation is:
[tex]y - 3.1 = 0.8(x - 3)[/tex]
Using the function, in 5 years, the height is of 4.7 meters.
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.
In point-slope form, considering a point [tex](x_0, y_0)[/tex], the equation is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In this problem, we have that the slope and the point are given, respectively, as:
[tex]m = 0.8, (x_0, y_0) = (3, 3.1)[/tex]
Hence the equation is:
[tex]y - 3.1 = 0.8(x - 3)[/tex]
In 5 years, we have that x = 5, hence:
y = 3.1 + 0.8(5 - 3) = 4.7 meters.
More can be learned about linear functions at https://brainly.com/question/24808124
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