Title: Increasing Rate of Change Pre-Video Questions
Course: Calculus Videos Project > Section: Increasing Rate of Change

Q: A car accelerates from rest away from an intersection. Which of the following statements accurately represent the relationship between the car’s distance away from the intersection and the number of seconds elapsed since the car began accelerating away from the intersection? Select the answer which correctly communicates the most information.
- As the number of seconds elapsed since the car started moving increases, the car’s distance away from the intersection increases.
- As the number of seconds elapsed since the car started moving increases, the car’s distance away from the intersection decreases.
- For successive uniform changes in the number of seconds elapsed since the car started moving, the car’s distance away from the intersection changes by equal amounts.
- For successive uniform changes in the number of seconds elapsed since the car started moving, the car’s distance away from the intersection changes by increasing amounts.
- For successive uniform changes in the number of seconds elapsed since the car started moving, the car’s distance away from the intersection changes by decreasing amounts.
A: For successive uniform changes in the number of seconds elapsed since the car started moving, the car’s distance away from the intersection changes by increasing amounts.

Q: Imagine the bottle below being filled with water.

Which of the following statements most accurately represents the relationship between the volume of water in the bottle and the height of water in the bottle? Select the answer which correctly communicates the most information.
- As the volume of water in the bottle increases, the height of water in the bottle decreases.
- As the volume of water in the bottle increases, the height of water in the bottle increases.
- For successive uniform changes in the volume of water in the bottle, the height of water in the bottle changes by increasing amounts.
- For successive uniform changes in the volume of water in the bottle, the height of water in the bottle changes by decreasing amounts.
- For successive uniform changes in the volume of water in the bottle, the height of water in the bottle changes by equal amounts.
A: For successive uniform changes in the volume of water in the bottle, the height of water in the bottle changes by increasing amounts.