Find the gross earnings for Rosemary Weiss who worked 41 hours as an

assembly line worker at Cambridge Motors. She is paid on an hourly wage
plus overtime for each hour worked over 40 each week. Overtime is paid
at a rate of 1 1/2 times hourly wage. Her hourly wage is $7.75

To find Rosemary's gross earnings, we need to calculate her regular earnings for the first 40 hours she worked and her overtime earnings for the additional hour.

First, let's calculate her regular earnings for 40 hours:
Regular earnings = (number of hours worked) * (hourly wage)
Regular earnings = 40 * $7.75 = $310

Next, let's calculate her overtime earnings for the additional hour:
Overtime earnings = (overtime hours) * (overtime rate)
Overtime earnings = (41 - 40) * (1.5 * hourly wage)
Overtime earnings = 1 * (1.5 * $7.75) = $11.63

Finally, let's calculate her gross earnings by adding her regular earnings and overtime earnings:
Gross earnings = Regular earnings + Overtime earnings
Gross earnings = $310 + $11.63 = $321.63

Therefore, Rosemary's gross earnings for working 41 hours at Cambridge Motors would be $321.63.