Home / AP® Exam / AP® PreCalculus / AP® Precalculus

AP Precalculus -1.1 Change in Tandem- MCQ Exam Style Questions - Effective Fall 2023

AP Precalculus -1.1 Change in Tandem- MCQ Exam Style Questions – Effective Fall 2023

AP Precalculus -1.1 Change in Tandem- MCQ Exam Style Questions – AP Precalculus- per latest AP Precalculus Syllabus.

AP Precalculus – MCQ Exam Style Questions- All Topics

Question 

 
 
 
 
 
 
 
 
 
 
 
 
 
A toy car travels around a circular track as shown in the figure. As the toy car travels around the track, its distance from the wall can be modeled by a graph where the \( y \)-axis represents the distance between the car and the wall, and the \( x \)-axis represents time. Which of the following graphs models this relationship as the car goes around the track three times without stopping?

▶️ Answer/Explanation
Detailed solution

As the car moves around a circular track, its distance from a fixed wall varies periodically: it is closest to the wall at one point and farthest away half a lap later.
One full lap corresponds to one complete cycle of distance variation (from near to far and back to near).
Three laps ⇒ three complete cycles in the distance–time graph.
The graph should therefore be wave-like (sinusoidal or similar), smooth, and periodic with three cycles.
Such a graph matches choice (A).
✅ Answer: (A)

Scroll to Top