A freight train is traveling at a constant speed. The table below shows how far the train travels after different amounts of time. What is the unit rate?%C2%A0%C2%A0(6.RP.2.c) (1 point) Responses 20 miles per 12 hour 20 miles per 1 half hour 40 miles per hour 40 miles per hour 60 miles per hour 60 miles per hour 80 miles per 2 hours
Based on the table, it can be observed that the train travels 20 miles after 1 half hour, which can be written as 20 miles per 0.5 hours.
To determine the unit rate, we need to find the distance traveled in one hour. We can do this by multiplying the distance traveled in 0.5 hours by 2.
20 miles per 0.5 hours * 2 = 40 miles per hour.
Therefore, the unit rate is 40 miles per hour.
To find the unit rate, we need to compare the distance traveled with the corresponding time. Looking at the table, we can see that the train travels 20 miles in 12 hours, 20 miles in 1 half hour (which is equivalent to 0.5 hours), and 80 miles in 2 hours.
To find the unit rate, we divide the distance traveled by the time taken. Let's calculate for each scenario:
1. For the first scenario, when the train travels 20 miles in 12 hours:
Unit rate = distance / time = 20 miles / 12 hours = 1.67 miles per hour
2. For the second scenario, when the train travels 20 miles in 0.5 hours:
Unit rate = distance / time = 20 miles / 0.5 hours = 40 miles per hour
3. For the third scenario, when the train travels 80 miles in 2 hours:
Unit rate = distance / time = 80 miles / 2 hours = 40 miles per hour
Therefore, the unit rate for the train's constant speed is 40 miles per hour.
To find the unit rate, we need to find the rate at which the train is traveling per one unit of time.
From the given table, we can see that:
- The train travels 20 miles in 12 hours
- The train travels 20 miles in 1 half hour
- The train travels 40 miles in 1 hour
- The train travels 60 miles in 1 hour
- The train travels 80 miles in 2 hours
The unit rates can be calculated as follows:
- The unit rate of traveling 20 miles in 12 hours is 20 miles/12 hours, which simplifies to 5/3 miles per hour.
- The unit rate of traveling 20 miles in 1 half hour is 20 miles/(1/2) hour, which simplifies to 40 miles per hour.
- The unit rate of traveling 40 miles in 1 hour is 40 miles per hour.
- The unit rate of traveling 60 miles in 1 hour is 60 miles per hour.
- The unit rate of traveling 80 miles in 2 hours is 80 miles/2 hours, which simplifies to 40 miles per hour.
So, the unit rate for the freight train's constant speed is 40 miles per hour.