The circumference of a car tire is 75 inches . About how many revolutions does this car tire make traveling 225 feet (2,700 inches ) without slipping ?

Options

A. 3
B. 14
C. 36
D. 225

Answer

To find out how many revolutions a car tire makes while traveling a certain distance, we can follow these steps:

### Step 1: Understand the Problem
We know that the circumference of the car tire is 75 inches. This means that for every complete revolution the tire makes, it covers a distance of 75 inches.

### Step 2: Convert the Distance
The distance the car travels is given as 225 feet. We need to convert this distance into inches because the circumference is in inches.
1 foot = 12 inches, so:
\[ 225 \text{ feet} = 225 \times 12 \text{ inches} = 2700 \text{ inches} \]

### Step 3: Calculate the Number of Revolutions
To find the number of revolutions the tire makes while traveling 2700 inches, we divide the total distance traveled by the circumference of the tire:
\[ \text{Number of Revolutions} = \frac{\text{Total Distance}}{\text{Circumference}} = \frac{2700 \text{ inches}}{75 \text{ inches}} \]

### Step 4: Perform the Division
Now, we perform the division:
\[ \frac{2700}{75} = 36 \]

### Conclusion
Thus, the car tire makes 36 revolutions while traveling 225 feet (or 2700 inches).

### Final Answer
The number of revolutions is **36**.

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