20
QuizMultiple Choice

Systems of Equations and Inequalities — Test

Question 20 • Algebra 2 with Probability

Erik's elevation is represented by the equation h is equal to 12 minus 0 point 75 t , and Raj's elevation is represented by h is equal to 0 point 7 5 t What does the point of intersection on the graph represent?

Answer
A
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.
B
Erik and Raj were at the same elevation after both of them had been riding the escalator for 8 seconds.
C
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.
D
Erik and Raj were at the same elevation after both of them had been riding the escalator for 6 seconds.

Explanation

At the point of intersection, Erik and Raj have the same elevation at the same time. Set their elevation equations equal: 12 − 0.75t = 0.75t, so 12 = 1.5t and t = 8 seconds. Thus, both had been riding the escalator for 8 seconds when they were at the same elevation, which is choice B.

AI-written and checked against the verified answer.

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