Using a linear function, it is found that the rate of change in this problem situation is of -2 contestants per week.
<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.
Considering the situation described, the number of participants after n weeks is given by:
N(n) = 20 - 2n.
The slope is of -2, hence the rate of change in this problem situation is of -2 contestants per week.
More can be learned about linear functions at brainly.com/question/24808124
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