Aquality assurance specialist makes $22 an hour for the first 40 hours she works during a week and $29 an hour for each hour worked over 40 hours. which piecewise equation models her total weekly pay y in dollars as it relates to the number of hours x that she has worked during the week?

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

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:

link

step-by-step explanation:

try soting them out first

step-by-step explanation: