We want to write a piecewise function that models how much the specialist wins per week. The piecewise function is:
f(x) = $22*x → if x ≤ 40
f(x) = $29*(x - 40) + $880 → if x < 40
What is a piecewise function?
It is a function that behaves differently in different parts of the domain.
Here, we can define x as the number of hours, so for x smaller or equal than 40, the function is:
f(x) = $22*x
For x larger than 40, the function will be:
f(x) = $29*(x - 40) + $22*40
Because she gets paid extra for each hour after the 40th one.
The piecewise function is written as:
f(x) = $22*x → if x ≤ 40
f(x) = $29*(x - 40) + $880 → if x < 40
This is the wanted piecewise function.
If you want to learn more about piecewise functions, you can read:
https://brainly.com/question/3628123
