Question

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

Answer:

Hence, the point of intersection describes that:

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

Step-by-step explanation:

We are given a function that represents Erik's elevation as:

h=12-0.75t

Also the function that describes Raj's elevation is given by the function:

h=0.75t

The point of intersections describes the time at which they have the same elevation.

on solving for the equation.

When they intersect,

12-0.75t=0.75t

12=0.75t+0.75t

1.5t=12

t=8 seconds.

when t=8

h=0.75×8=6

Hence, the point of intersection describes that:

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