Question

Charlotte is traveling 15 meters per second. Which expression could be used to convert this speed to kilometers per hour?

a. (15 meters/(1 second) (1 minute)/(60 seconds) (1 hour)/(60 seconds) (1 kilometer)/(1000meters)
b. (15 meters/(1 second) (60 seconds/(1 minute) (60 minutes)/(1 hour) (1 kilometer)/(1000meters)
c. (15 meters)/(1 second) (60 seconds/(1 minute) (60 minutes)/(1 hour) (1000 meters)/(1 kilometers)
d. (15 meters)/(1 second) (1 minute)/(60 seconds) (60 minutes)/(1 hour) (1 kilometer)/(1000meters)

Answer 1

The expression that could be used to convert the speed of 15 meters per second to kilometers per hour is option b. (15 meters/(1 second) (60 seconds/(1 minute) (60 minutes)/(1 hour) (1 kilometer)/(1000 meters)). To convert from meters per second to kilometers per hour, you need to multiply by conversion factors: one for seconds to minutes and another for minutes to hours.

Step-by-step explanation:

The expression that could be used to convert the speed of 15 meters per second to kilometers per hour is option b. (15 meters/(1 second) (60 seconds/(1 minute) (60 minutes)/(1 hour) (1 kilometer)/(1000meters)).

To convert from meters per second to kilometers per hour, we need to multiply by two conversion factors: one to convert seconds to hours and another to convert meters to kilometers.

1. Start with the given speed in meters per second: 15 meters/second
2. Multiply by the conversion factor 60 seconds/1 minute to convert seconds to minutes: (15 meters/second) (60 seconds/1 minute)
3. Multiply by the conversion factor 60 minutes/1 hour to convert minutes to hours: (15 meters/second) (60 seconds/1 minute) (60 minutes/1 hour)
4. Multiply by the conversion factor 1 kilometer/1000 meters to convert meters to kilometers: (15 meters/second) (60 seconds/1 minute) (60 minutes/1 hour) (1 kilometer/1000 meters)

The final result is (15 meters/second) (60 seconds/1 minute) (60 minutes/1 hour) (1 kilometer/1000 meters), which simplifies to option b. (15 meters/(1 second) (60 seconds/(1 minute) (60 minutes)/(1 hour) (1 kilometer)/(1000 meters)).