The graph shows the distance traveled by a train over x hours. Which of the inequalities shows when the train has traveled at least 400 miles?

A graph is shown in the xy-plane. The values on the x-axis ranges from 0 to 16 in increments of 2 and the values on the y-axis ranges from 0 to 900 in increments of 100. A line starts from the origin, goes up and passes through the point (5, 400).
A. x≥400

B. x≥5

C. x>400

D. x>5

1 answer

The correct answer is option D.

According to the graph, the train starts at the origin (0,0) and travels up the line passing through (5,400). This means that after 5 hours, the train has traveled at least 400 miles. Therefore, the inequality should be x>5 to represent the time during which the train has traveled at least 400 miles.