Answer:
$903.10
Step-by-step explanation:
Carson's average rate basis for the week is given by the weighted average of each rate by the number of hours worked:
![R = (16.00*36+17.50*14)/(36+14)\\R=\$16.42](https://img.qammunity.org/2021/formulas/business/college/l61hkw787pdpw6t5z6xryjnwlfiu5alewx.png)
When considering overtime pay, every hour worked over 40 weekly hours must be paid at a rate of 1.5 the normal rate. Since he worked 50 total hours, he should get 10 hours of overtime. His gross pay for that week is:
![P=40*16.42+(1.5*10*16.42)\\P=\$903.10](https://img.qammunity.org/2021/formulas/business/college/8ru731zg5k4rp1hxge2yv30ox74fywc8ll.png)
Carson's gross pay for that week is $903.10.