Question

take a look at the tables youve completed. find the constants of proportionality for the relationship between meters and kilometers.
kilometers meters
1 ×... 1,000
9 9,000
25 25,000
1.358 1,358
68.5 68,500
meters kilometers
1,000 ×... 1
2,800 2.8
350 0.350
54 0.054
6 0.006

Explanation:

Step1: Analyze the first table (Kilometers to Meters)

We know that 1 kilometer is related to 1000 meters. The formula here is \( \text{Meters} = \text{Kilometers} \times k \), where \( k \) is the constant of proportionality. For the first row, \( 1 \times k = 1000 \), so solving for \( k \), we get \( k = 1000 \).

Step2: Analyze the second table (Meters to Kilometers)

The formula here is \( \text{Kilometers} = \text{Meters} \times k \). For the first row, \( 1000 \times k = 1 \), so solving for \( k \), we have \( k=\frac{1}{1000} = 0.001 \).

Answer:

For the relationship from kilometers to meters, the constant of proportionality is \( 1000 \). For the relationship from meters to kilometers, the constant of proportionality is \( 0.001 \).