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To solve this problem, we need to calculate how far the car travels after 10,000 wheel revolutions given that the wheel has a diameter of 28 inches.

### Step-by-step process:

1. **Find the circumference of the wheel**: 
   The distance the car travels in one revolution of the wheel is equal to the circumference of the wheel. The formula for the circumference \( C \) of a circle is:
   \[
   C = \pi \times d
   \]
   where \( d \) is the diameter of the wheel.

   - Diameter \( d = 28 \) inches.
   - So, the circumference \( C = \pi \times 28 \approx 3.1416 \times 28 = 87.96 \) inches.

2. **Calculate the total distance traveled in inches**:
   Since the wheel revolves 10,000 times, the total distance traveled in inches is:
   \[
   \text{Total distance} = 87.96 \, \text{inches/rev} \times 10,000 \, \text{revs} = 879,600 \, \text{inches}.
   \]

3. **Convert inches to miles**:
   There are 63,360 inches in a mile (since \( 1 \, \text{mile} = 5280 \, \text{feet} \) and \( 1 \, \text{foot} = 12 \, \text{inches} \)).
   \[
   \text{Distance in miles} = \frac{879,600 \, \text{inches}}{63,360 \, \text{inches/mile}} \approx 13.88 \, \text{miles}.
   \]

### Final Answer:
The car will travel approximately **13.88 miles** after 10,000 wheel revolutions.

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Would you like a more detailed explanation or have any questions?

Here are 5 related questions to explore further:
1. How would the travel distance change if the wheel diameter was larger?
2. How can you calculate the number of revolutions for a given distance in miles?
3. What if the wheel diameter was in centimeters—how would the conversion to miles work?
4. How would slipping affect the distance traveled by the car?
5. What is the relationship between the radius of a wheel and the distance traveled in one revolution?

**Tip:** When converting units, always check the relationships between them to ensure your calculations are correct.

A car's wheels are 28 inches in diameter. How far (in miles) will the car travel if its wheels revolve 10,000 times without slipping?

Learn how to calculate how far a car will travel if its 28-inch diameter wheels revolve 10,000 times. This problem covers key concepts in geometry and unit conversion, including the formula for the circumference of a circle and converting inches to miles.

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