Final answer:
The ranger hiked a total of 4856 feet on the mountain over the past nine weeks, calculated by doubling the one-way distance of 607 feet for a round trip, and then multiplying by 4 trips.
Step-by-step explanation:
The question asks to calculate the total distance hiked by a ranger over the past nine weeks. The ranger hiked 607 feet to the peak of a mountain and back, each way, and completed this round trip 4 times within the nine-week period.
To find the total distance hiked, we'll need to calculate the round-trip distance and then multiply it by the number of trips:
- Round-trip distance: 607 feet to the peak + 607 feet back = 1214 feet per trip.
- Total distance over 9 weeks: 1214 feet/trip × 4 trips = 4856 feet.
Therefore, the ranger hiked a total of 4856 feet on the mountain over the past nine weeks.