53.0k views
4 votes
The relationship 1 kilometer =1,000 meters is used to write the rate 1/1,000 kilometer per meter. How is this rate shown by a row of the table of meters and kilometers in the first Model It?

1 Answer

5 votes

The table represents the rate of 1/1,000 kilometer per meter, showing a systematic relationship between kilometers and meters. Each row illustrates the conversion, emphasizing the proportional nature of the given rate.

To represent the rate of 1/1,000 kilometer per meter in a table, you can set up a table with two columns: one for kilometers and one for meters. You'll then populate the table with values that adhere to the given rate.

Table Setup:

Kilometers Meters

1 1,000

2 2,000

3 3,000

... ...

Start with the Given Rate:

The given rate is 1/1,000 kilometer per meter. This means that for every 1,000 meters, there is 1 kilometer.

Choose Values for Kilometers:

Choose values for kilometers in a systematic way. You can start with 1 kilometer and increase by 1 for simplicity.

Calculate Corresponding Meters:

For each chosen value of kilometers, calculate the corresponding value in meters using the relationship 1 kilometer = 1,000 meters.

For example, if kilometers = 1, then meters = 1 * 1,000 = 1,000.

If kilometers = 2, then meters = 2 * 1,000 = 2,000.

Repeat this process for each row.

Fill in the Table:

Populate the table with the calculated values for both kilometers and meters.

Completed Table:

Kilometers Meters

1 1,000

2 2,000

3 3,000

4 4,000

... ...

Now, each row in the table represents a pair of values: kilometers and the corresponding meters based on the given rate. This table demonstrates the relationship between kilometers and meters according to the rate 1/1,000 kilometer per meter.

User Sudar Nimalan
by
8.3k points