Question

1. which is longer, 4000 ft or 1 kilometer? solve each proportion.

Explanation:

Step1: Recall unit conversion factor

We know that \( 1 \) kilometer \( = 1000 \) meters, and \( 1 \) meter \( = 3.28084 \) feet (approximate conversion factor). So first, convert kilometers to meters, then meters to feet.
First, convert \( 1 \) kilometer to meters: \( 1 \text{ km} = 1000 \text{ m} \)
Then convert meters to feet: \( 1000 \text{ m} \times 3.28084 \text{ ft/m} = 3280.84 \text{ ft} \)

Step2: Compare the two lengths

We have \( 4000 \text{ ft} \) and \( 3280.84 \text{ ft} \) (which is \( 1 \) kilometer in feet). Since \( 4000 > 3280.84 \), we can conclude which is longer.

Answer:

\( 4000 \) ft is longer than \( 1 \) kilometer.