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

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

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