Final answer:
The amount added to the representative's check is $88.55. There is no correct option but the nearest option is d).
Step-by-step explanation:
To calculate the amount that will be added to his check, we need to find the total mileage traveled by the representative throughout the week. Adding up the miles traveled on each day, we get:
27 + 36 + 33 + 21 + 44 = 161 miles
Next, we need to calculate the cost of this mileage at a rate of 55 cents per mile. Multiplying the total mileage by the rate, we get:
161 miles * $0.55 = $88.55
Therefore, $88.55 will be added to the representative's check.