The length of a bicycle trail is 1,310 yards. How many miles will Bella and her friends ride if they make 6 trips around the trail? Round your answer to the nearest tenth of a mile, if necessary
The Correct Answer and Explanation is:
Answer:
Bella and her friends will ride 4.5 miles if they make 6 trips around the trail.
Explanation:
To find the total distance Bella and her friends will ride, we first need to calculate the total number of yards they travel in 6 trips, then convert that distance to miles.
Step 1: Find the total distance in yards.
We are told that one trip around the trail is 1,310 yards.
Bella and her friends make 6 trips. Total distance in yards=1,310 yards/trip×6 trips=7,860 yards\text{Total distance in yards} = 1,310 \text{ yards/trip} \times 6 \text{ trips} = 7,860 \text{ yards}Total distance in yards=1,310 yards/trip×6 trips=7,860 yards
Step 2: Convert yards to miles.
We use the fact that 1 mile = 1,760 yards.
To convert 7,860 yards to miles, divide by 1,760: 7,8601,760≈4.4659 miles\frac{7,860}{1,760} \approx 4.4659 \text{ miles}1,7607,860≈4.4659 miles
Step 3: Round to the nearest tenth of a mile.
The number 4.4659 rounded to the nearest tenth is 4.5.
Final Answer:
Bella and her friends will ride 4.5 miles if they make 6 trips around the trail.
Why this works:
This problem involves both multiplication and unit conversion. First, we multiplied the number of trips by the trail length to find the total distance traveled in yards. Then we used the conversion factor between yards and miles to change the units. Finally, we rounded the answer to make it more practical, as often seen in real-life distance measurements. This kind of multi-step problem is common in everyday situations, like planning a bike ride or estimating travel distances, and helps reinforce understanding of units and arithmetic operations.
