Question
What is the constant rate of change if you started with an account value of $1,000 and after 3 years the account value was $1,750?(1 point)
The constant rate of change is $ per year.
The constant rate of change is $ per year.
Answers
GPT-4o mini
To calculate the constant rate of change, we can use the formula:
\[
\text{Rate of Change} = \frac{\text{Change in Value}}{\text{Change in Time}}
\]
1. **Initial value** = $1,000
2. **Final value after 3 years** = $1,750
**Change in Value** = Final Value - Initial Value
\[
= 1750 - 1000 = 750
\]
**Change in Time** = 3 years
Now we can plug in these values into the formula:
\[
\text{Rate of Change} = \frac{750}{3} = 250
\]
Thus, the constant rate of change is **$250 per year**.
\[
\text{Rate of Change} = \frac{\text{Change in Value}}{\text{Change in Time}}
\]
1. **Initial value** = $1,000
2. **Final value after 3 years** = $1,750
**Change in Value** = Final Value - Initial Value
\[
= 1750 - 1000 = 750
\]
**Change in Time** = 3 years
Now we can plug in these values into the formula:
\[
\text{Rate of Change} = \frac{750}{3} = 250
\]
Thus, the constant rate of change is **$250 per year**.