Questions: What is the metric length of the 200-yard dash? [1 inch = 2.54 cm (exactly)] a. 1830 cm b. 508 cm c. 183 m d. 508 m

Solution Steps

• There are 36 inches in a yard.
• Multiply 200 yards by 36 inches/yard to convert yards to inches: \[ 200 \, \text{yards} \times 36 \, \text{inches/yard} = 7200 \, \text{inches} \]

• Use the conversion factor \(1 \, \text{inch} = 2.54 \, \text{cm}\).
• Multiply 7200 inches by 2.54 cm/inch to convert inches to centimeters: \[ 7200 \, \text{inches} \times 2.54 \, \text{cm/inch} = 18288 \, \text{cm} \]

• There are 100 centimeters in a meter.
• Divide 18288 centimeters by 100 to convert centimeters to meters: \[ \frac{18288 \, \text{cm}}{100} = 182.88 \, \text{m} \]

• Round 182.88 meters to the nearest whole number to match the answer choices: \[ 182.88 \, \text{m} \approx 183 \, \text{m} \]

Final Answer