Joanna, the line manager at Smedley Electronics, works 14 hours a week more than her line workers and gets paid $6.50 more per hour. Line workers work h hours per week and get paid d dollars per hour. How do you write an expression for how much a line worker gets paid each week and how much Joanna gets paid each week? And if the line workers get paid $576 for a 36 hour week, how much does Joanna get paid per week?

Respuesta :

Given:
Joanna :
works 14 hrs a week more than her line workers.
gets paid 6.50 more per hour than her line workers.

Line workers: h = hours per week ; d = dollars per hour.

Line worker = Dollar per hour * number of hours.
Joanna = (Dollar per hour + 6.50)(number of hours + 14 hours)

Line worker:
$576 = d * 36 hours
$576/36 = d
$16 = d    hourly rate of line worker.

Joanna:
$16 + 6.50 = $22.50 hourly rate
36hrs + 14hrs = 50 hours per week.

Weekly pay of Joanna: $22.50 * 50 = $1,125