A bus travels one and one half miles to a bus stop 4 times. How many miles in all has the bus traveled?
The correct answer and explanation is:
To find out how many miles the bus has traveled in total, we need to consider the distance it travels each time and how many times it makes the trip.
The bus travels one and one-half miles (which is the same as 1.5 miles) to the bus stop each time. Since the bus makes this trip four times, we can multiply the distance traveled on one trip by the number of trips to find the total distance traveled.
Step 1: Convert one and one-half miles into a decimal, which gives 1.5 miles per trip.
Step 2: Multiply the distance for each trip by the number of trips: 1.5 miles×4=6 miles1.5 \, \text{miles} \times 4 = 6 \, \text{miles}
Thus, the bus has traveled a total of 6 miles in all.
Explanation:
The multiplication is based on the fact that the bus repeats the same trip four times. Each trip covers a fixed distance of 1.5 miles. Since the problem asks for the total distance traveled, we simply multiply the distance for one trip by the total number of trips.
This type of problem involves understanding that when an action is repeated multiple times, the total amount of the action is found by multiplication. Here, the action is the bus traveling 1.5 miles, and it happens four times. Therefore, multiplying 1.5 by 4 gives the total distance.
The answer is 6 miles because each trip covers 1.5 miles, and the bus makes the trip four times.