A boat is traveling through the water. The graph below shows the relationship between the distance (in kilometers) and the time (in hours) the boat has traveled.
Distance (kilometers)
D255075100125150175200225250T1234567890
Time (hours)
(a)Write an equation to represent the relationship between D and T.
(b)Choose the correct statement to represent this relationship.
The boat is traveling 25 kilometers per hour.
The boat is traveling 1 kilometer per 25 hours.
The boat is traveling 50 kilometers per hour.
The boat is traveling 1 kilometer per hour.
(a) Based on the graph, the equation to represent the relationship between D (distance) and T (time) can be written as:
D = 25T
(b) The correct statement to represent this relationship is: The boat is traveling 25 kilometers per hour.
(a) To write an equation to represent the relationship between D and T, we need to determine the pattern or slope of the graph. Looking at the graph, we can see that for every increase in time (T) by 1 hour, the distance (D) increases by 25 kilometers. Therefore, the equation that represents this relationship is:
D = 25T
(b) The correct statement to represent this relationship is: The boat is traveling 25 kilometers per hour.
(a) To write an equation to represent the relationship between distance (D) and time (T), we can observe that as the time increases, the distance also increases. This indicates that the relationship is a linear one, with a constant rate of change.
Looking at the graph, we can see that as time increases by 1 hour, the distance increases by 25 kilometers. Therefore, the equation that represents this relationship can be written as:
D = 25T
(b) From the equation D = 25T, we can determine the correct statement to represent this relationship. The boat is traveling at a rate of 25 kilometers per hour.