Damon cycled a total of 12 kilometers by making 2 trips to work. After 3 trips to work, how many kilometers will Damon have cycled in total? Solve using unit rates.

Question

unit rates solving for them

Answer 1

To get the unit rate, divide the total kilometers by the number of trips:

unit rate = (12 km) / (2 trips) = 6 km/trip

The unit rate tells you that each trip is 6 km. To get the kilometers after three trips, multiply the unit rate by the number of trips:

total km for 3 trips = unit rate × number of trips = 6 km/trip × 3 trips = _____ km

Answer 2

Damon cycled a total of 12 kilometers by making 2 trips to work. After 3 trips to work, how many kilometers will Damon have cycled in total? Solve using unit rates.

Since, 2 trips were 12 kilometers, we can divide 12 by 2 to figure out that one trip is 6 kilometers. Then multiply 6 by the number of trips taken to get your answer.

Answer 3

The multiplicative identity property states that the identity of a number stays the same whenever the number is multiplied by 1.

We use the values that allow the units to cancel units.

In this problem,

1 = (2 trips / 12 kilometers) = (12 kilometers / 2 trips)

So,

3 trips

(3 trips) * 1

(3 trips) * (12 kilometers / 2 trips)

(3*12/2) kilometers

18 kilometers

3 trips is 18 kilometers

Answer 4

Could also use a proportion but make sure your setup is consistent re: units.

One possibilty: 12 km/2 trips = x km/3 trips

Cross multiply: 2x = 36, divide both sides by 2: x = 18 km