Final answer:
Auggie's gross pay for the week is $292.35, calculated by adding her earnings from her hourly wage ($210) and the piece rate for the toys assembled beyond the first 20 ($82.35).
Step-by-step explanation:
To calculate Auggie's gross pay for the week, we need to consider two parts of her earnings: her hourly wage and the piece rate for assembling toys beyond the first 20. Auggie worked 40 hours at a rate of $5.25 per hour, so for her hourly wage, we multiply:
40 hours * $5.25/hour = $210
Next, we calculate her earnings from assembling toys. She assembled 47 toys, but she is only paid per toy after the first 20. So, she is paid for 47-20 = 27 toys. The rate per toy is $3.05, therefore:
27 toys * $3.05/toy = $82.35
Now, add both parts of her earnings together to find the gross pay:
$210 (hourly wage) + $82.35 (piece rate) = $292.35
Auggie's gross pay for the week is $292.35.