The table shows the distance the bus travels in kilometers over a period of time in hours. We can observe that as time increases, the distance traveled by the bus also increases at a constant rate. This indicates that the bus is traveling at a constant speed.
We can write an equation to represent the relationship between distance and time. Let d be the distance traveled by the bus in kilometers and t be the time in hours. Since the bus is traveling at a constant speed, we can use the formula:
Speed = Distance / Time
Rearranging this formula, we get:
Distance = Speed x Time
Let s be the speed of the bus in kilometers per hour. Then the equation relating distance and time is:
d = s x t
We can use the values from the table to find the speed of the bus. When t = 0.5 hours, d = 42 km. Therefore:
42 = s x 0.5
s = 84 km/h
Now that we know the speed of the bus, we can use the equation to find the distance traveled in 6 hours:
d = 84 x 6
d = 504 km
The bus travels 504 kilometers in 6 hours.