A patient drives 19 miles one way to a medical facility for treatment. How far does the patient drive round-trip in 22 days of treatment?
A.
1,254 miles
B.
1,672 miles
C.
418 miles
D.
836 miles
The Correct Answer and Explanation is:
To determine the total distance a patient drives round-trip to a medical facility over 22 days of treatment, we start by calculating the distance driven in one round trip.
- Calculate the round-trip distance: The patient drives 19 miles one way to the facility. Therefore, the distance for a round trip is:Round-trip distance=19 miles×2=38 miles\text{Round-trip distance} = 19 \text{ miles} \times 2 = 38 \text{ miles}Round-trip distance=19 miles×2=38 miles
- Calculate the total distance for 22 days: Since the patient undergoes treatment for 22 days, we need to multiply the round-trip distance by the number of days:Total distance=Round-trip distance×Number of days=38 miles×22=836 miles\text{Total distance} = \text{Round-trip distance} \times \text{Number of days} = 38 \text{ miles} \times 22 = 836 \text{ miles}Total distance=Round-trip distance×Number of days=38 miles×22=836 miles
- Verify the calculation: Breaking it down further, the calculation can be confirmed as follows:
- First, calculate 38×2038 \times 2038×20: 38×20=760 miles38 \times 20 = 760 \text{ miles}38×20=760 miles
- Then calculate 38×238 \times 238×2: 38×2=76 miles38 \times 2 = 76 \text{ miles}38×2=76 miles
- Finally, add these two results: 760+76=836 miles760 + 76 = 836 \text{ miles}760+76=836 miles
From the calculations above, the total distance the patient drives round-trip over 22 days is 836 miles.
Conclusion: Therefore, the correct answer is D. 836 miles. This total reflects the consistent effort and commitment of the patient to attend their treatments, which can be significant in terms of both time and distance, emphasizing the importance of accessibility to medical care.