Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1 2 times her hourly pay rate for time she works over 8 hours each day. Rita's work day for Monday is described in the list. worked from 8:15 a. M. To 12:45 p. M. took a 45-minute lunch break worked until 6:15 p. M. Rita does not get paid for her lunch break. How much money did Rita earn for the time she worked on Monday?

Step-by-step explanation:

The rate by which  Rita is paid first 8 hours  = $16

The next per hour rate after 8 hours = times the usual rate.

Now, 1.5 times $16 = 1.5 x 1 6 =  $24

So, for each hour worked after 8th hour, Rita is paid $24 per hour.

Now, the intervals she has worked are:

(a) from 8:15  to 12: 45 pm

So, the number of hours worked  =  45 minutes + 45 minutes  + 3 hours  

= 4 hours 30 minutes  .... (1)   (as 60 minutes = 1 hour)

(b) break of 45 minutes after 12: 45  = 12: 45 + 45 minutes  

= 12 hour 90 minutes  = 1 :  30 P M

So, she started working at 1: 30 and worked till 6: 15

So, the number of hours worked  =  30 minutes + 15 minutes  +4 hours  

= 4 hours 45 minutes  .... (2)  

So, by adding (1) and (2) the total hours worked by Rita  

= 4 hours 30 minutes + 4 hours 45 minutes    

= 8 hours  75 minutes  = 9 hours 15 minutes

9 hours  15 minutes   = ( 8 +  1 .25 )     ( 15 minutes = 0.25 of an hour)

So, the payment is ( 8 x (16) +  1.25 (24) )  

= 128 +  30  = 158

Hence, the total money earned by Rita  = $158

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