Question

Matty jogs 1km in 5 minutes. Identify the correct conversion factor setup required to compute Matty's speed in m/s.

A)
1km
5min
x
1km
1000m
x
1min
60s
B)
1km
5min
x
1000m
1km
x
1min
60s
C)
5min
1km
x
1000m
1km
x
1min
60s
D)
1km
5min
x
1000m
1km
x
60s
1min

Answer 1

The correct conversion factor setup to compute Matty's speed in meters per second from 1 km in 5 minutes is 1 km / 5 min × 1000 m / 1 km × 1 min / 60 s (Option B).

Step-by-step explanation:

To find Matty's speed in meters per second, you would need to use the correct conversion factors to change kilometers to meters and minutes to seconds. The best setup for the given data (Matty jogs 1 km in 5 minutes) would be:

Speed in m/s = (1 km / 5 min) × (1000 m / 1 km) × (1 min / 60 s)

Using this setup, kilometers will cancel with kilometers, minutes will cancel with minutes, and you will be left with the speed in meters per second. Thus, the correct conversion factor setup is:

Option B

1 km / 5 min × 1000 m / 1 km × 1 min / 60 s

This is the proper way to ensure that all units are converted correctly. Without correct units, the calculation would not yield the correct result in meters per second.

Answer 2

The correct answer is: [C]: "(1 km / 5 min) × (1000m/1km) × (1 min/ 60 s)" .
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Step-by-step explanation:
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(1 km / 5 min) * (1000m /1 km) * (1 min/ 60 s) = _?_ (m/s)

The answer is: "(1 km / 5 min)* (1000m/1km) * (1 min/ 60 s)" ;

which corresponds to: Answer choice: [C].
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