Respuesta :
Building a linear function to model the tree's height, the correct statements are given by:
- The tree grows 10 inches a year.
- The initial height was of 40 inches.
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.
Given two points, the slope is given by change in y divided by change in x. In this problem, the points are (2,60) and (5,90), hence:
m = (90 - 60)/(5 - 2) = 10.
When x = 2, y = 60, hence we use it to find b.
y = 10x + b
60 = 20 + b
b = 40.
Hence the height after x years is given by:
y = 10x + 40.
And the correct statements are:
- The tree grows 10 inches a year.
- The initial height was of 40 inches.
More can be learned about linear functions at https://brainly.com/question/24808124
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