Question

Which of the following proportions could be used to convert 0.054 kilometers per second into meters per second? 0.054 km/ x m = 1,000 m/1 km0.054 km/ x m = 1 km/ 1,000 m1,000 km/1 m = 0.054 km/ x m0.054 km/ 1 sec = 1 hr/ 3,600 sec

Answer 1

`\frac{0.054\text{ km}}{x\text{ m}}=\frac{1\text{ km}}{1000\text{ m}}`

Step-by-step explanation:

If we want to convert kilometers per second into meters per second, we only need to convert kilometer to meters.

Then, 1 km is equivalent to 1000 m, so the answer will have this relationship.

Finally, the numerator of the proportions should have the same units and the denominator of the proportions should also have the same units.

Therefore, the correct answer is:

`\frac{0.054\text{ km}}{x\text{ m}}=\frac{1\text{ km}}{1000\text{ m}}`

Because the numerator has km as a unit and the denominator has m as a unit. Additionally, the relationship used on the right side of the equation is 1 km to 1000 m which is the right equivalence.