Final answer:
The total cost of Mr. Garcia's trip is calculated by adding the cost for the car rental for 5 days to the cost for the mileage for driving 550 miles. The correct total cost is $264.75, calculated as the sum of the rental rate ($28.95 per day for 5 days) and the mileage charge ($20.00 per fraction of 100 miles for 550 miles). The provided options a, b, c, and d do not accurately represent the correct total cost.
Step-by-step explanation:
The student's question is about calculating the total cost of Mr. Garcia's trip, where the costs involve a daily rental rate and an additional charge based on the mileage driven. Mr. Garcia rents a car at a rate of $28.95 per day and incurs an additional charge of $20.00 per 100 miles. To find the total cost of renting the car for 5 days and driving 550 miles, we need to calculate the daily rental cost and the mileage charge separately, and then add them together.
First, calculate the daily rental cost:
5 days * $28.95/day = $144.75
Next, calculate the mileage charge. Since Mr. Garcia drives 550 miles, and there is a charge for each fraction of 100 miles, we divide the total mileage by 100 and round up, because each fraction incurs the full charge of $20.00:
(550 miles / 100 miles) round up = 6Now calculate the mileage charge:
6 * $20.00 = $120.00
Finally, add both costs to get the total cost of the trip:
$144.75 (rental cost) + $120.00 (mileage charge) = $264.75
Thus, the correct expression that shows the total cost of Mr. Garcia's trip is:
5 * $28.95 + 6 * $20.00
Note that none of the expressions provided in the question (a, b, c, or d) accurately represents the correct calculation. The closest expression, but still incorrect, is option (d), which slightly overestimates the cost since it uses 6 days instead of 5 for the daily rate calculation.