Question
In which situation is the value of a painting changing at a constant rate with respect to time?
A.
The value of the painting is decreasing by 25% per year.
B.
The value of the painting each year is 1.15 times the value of the painting in the previous year.
C.
The value of the painting is decreasing by $250 per year.
D.
The value of the painting increases by $150 the first year, $250 the second year, $350 the third year, and so on.
A.
The value of the painting is decreasing by 25% per year.
B.
The value of the painting each year is 1.15 times the value of the painting in the previous year.
C.
The value of the painting is decreasing by $250 per year.
D.
The value of the painting increases by $150 the first year, $250 the second year, $350 the third year, and so on.
Answers
GPT-4o mini
The situation in which the value of a painting is changing at a constant rate with respect to time is:
**C. The value of the painting is decreasing by $250 per year.**
In this case, the decrease in value is a fixed amount ($250) each year, indicating a constant rate of change.
- Option A involves a percentage decrease, which means the amount decreases at a variable rate over time.
- Option B describes exponential growth, where the value changes by a percentage of the previous year, leading to a non-constant rate of change.
- Option D describes an increasing amount that rises by a larger amount each year, which results in a variable increase.
Therefore, option C is the only one that represents a constant rate of change.
**C. The value of the painting is decreasing by $250 per year.**
In this case, the decrease in value is a fixed amount ($250) each year, indicating a constant rate of change.
- Option A involves a percentage decrease, which means the amount decreases at a variable rate over time.
- Option B describes exponential growth, where the value changes by a percentage of the previous year, leading to a non-constant rate of change.
- Option D describes an increasing amount that rises by a larger amount each year, which results in a variable increase.
Therefore, option C is the only one that represents a constant rate of change.