Question

A quality 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 week pay y in dollars as it relates to the number of hours x that she has worked during the week?

Answer 1

hopes this helps

Explanation:

this is a tricky one here

40x X 22= $880

second week

40x X 29=1,160

Answer 2

Answer: Our equation becomes,

`y=22x\ ;\ x\leq 40\\\\and\\\\y=29(x+40)\ ;\ x>40`

Explanation:

Let the number of hours she works for be 'x'.

Let the number of dollars she will be paid in week be 'y'.

Cost per hour for first 40 hours = $22

Cost per hour for over 40 hours = $29

We need to model the piece-wise equation for her total pay in week.

So, our equation becomes,

`y=22x\ ;\ x\leq 40\\\\and\\\\y=29(x+40)\ ;\ x>40`