Question
(3 points)
The value of a motorcycle changes according to the equation V(t)=5,000(1.03)t
, where V(t) = value in dollars and t = time in years.
Use the dropdowns to complete the statements.
In the equation, the number 5,000 represents the
initial value
of the motorcycle.
What does V(t) = 9000 mean in the context of this problem?
The time it takes for the motorcycle's value to be $9000.
What does a value of t = 3 mean in the context of this problem?
It will take three years for the motorcycle's value to depreciate.
Time being three years after the motorcycle was given an initial value.
The time it takes for the value to be $5000.
Time being three years before the motorcycle was given an initial value.
The value of a motorcycle changes according to the equation V(t)=5,000(1.03)t
, where V(t) = value in dollars and t = time in years.
Use the dropdowns to complete the statements.
In the equation, the number 5,000 represents the
initial value
of the motorcycle.
What does V(t) = 9000 mean in the context of this problem?
The time it takes for the motorcycle's value to be $9000.
What does a value of t = 3 mean in the context of this problem?
It will take three years for the motorcycle's value to depreciate.
Time being three years after the motorcycle was given an initial value.
The time it takes for the value to be $5000.
Time being three years before the motorcycle was given an initial value.
Answers
GPT-4o mini
Here are the correct responses to the statements based on the given equation \( V(t) = 5,000(1.03)^t \):
1. In the equation, the number 5,000 represents the **initial value** of the motorcycle.
2. What does \( V(t) = 9000 \) mean in the context of this problem?
- **The time it takes for the motorcycle's value to be $9000.**
3. What does a value of \( t = 3 \) mean in the context of this problem?
- **Time being three years after the motorcycle was given an initial value.**
The other options do not accurately describe the context of the equation or the variables.
1. In the equation, the number 5,000 represents the **initial value** of the motorcycle.
2. What does \( V(t) = 9000 \) mean in the context of this problem?
- **The time it takes for the motorcycle's value to be $9000.**
3. What does a value of \( t = 3 \) mean in the context of this problem?
- **Time being three years after the motorcycle was given an initial value.**
The other options do not accurately describe the context of the equation or the variables.