A boat is traveling through the water. The graph below shows the relationship between the distance D (in kilometers) and the time T (in hours) the boat has traveled.

Distance (kilometers)
D50100150200250300350400450500T1234567890
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 1 kilometer per 50 hours.
The boat is traveling 50 kilometers per hour.
The boat is traveling 100 kilometers per hour.
The boat is traveling 1 kilometer per 100 hours.

1 answer

(a) Let's look at the graph to find the relationship between D and T. We see that for every increase of 1 hour in T, there is a corresponding increase of 50 kilometers in D.

So, we can write the equation for this relationship as:
D = 50T

(b) The correct statement to represent this relationship is:
The boat is traveling 50 kilometers per hour.