Using the line of best fit, it is found that the predicted length of a catfish that weighed 36 pounds is of 36 inches.
<h3>What is a linear function?</h3>
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 this problem, the line passes through points (20,4) and (29,22), hence the slope is given by:
m = (22 - 4)/(29 - 20) = 2.
Then:
y = 2x + b.
Point (20,4) is replaced in the equation and used to find b, hence:
4 = 2(20) + b
b = -36
Then the equation is given by:
y = 2x - 36.
When the weight is of 36 pounds, x = 36, hence the prediction is of:
y = 2(36) - 36 = 36 inches.
More can be learned about linear functions at brainly.com/question/24808124
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