Question

Erik rode down an escalator, while Raj rode up.

A coordinate grid showing Escalator Ride with Seconds on the Escalator on the horizontal, t, axis, and Elevation in meters on the vertical, h, axis with 2 lines. One line labeled Erik, and passes through (0, 12) and (8, 6). The second line labeled Raj, passes through (0, 0) and (8, 6).
Erik's elevation is represented by the equation h = 12 – 0.75t, and Raj's elevation is represented by h = 0.75t. What does the point of intersection on the graph represent?

Erik and Raj were at the same elevation after both of them had been riding the escalator for 6 seconds.
Erik and Raj were at the same elevation after both of them had been riding the escalator for 8 seconds.
Erik and Raj were at the same elevation after Erik had been riding the escalator for 6 seconds and Raj had been on the escalator for 8 seconds.
Erik and Raj were at the same elevation after Erik had been riding the escalator for 8 seconds and Raj had been on the escalator for 6 seconds.

Answer 1

Intersection: solve 12 − 0.75t = 0.75t → 12 = 1.5t → t = 8, h = 6.

So the point (8, 6) means that after both had been riding for 8 seconds, Erik and Raj were at the same elevation of 6 meters. The correct choice is the second one.