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 find the constant rate of change, you can use the formula for the rate of change:
\[
\text{Rate of change} = \frac{\text{Change in account value}}{\text{Change in time}}
\]
1. **Change in account value**:
\[
1750 - 1000 = 750
\]
2. **Change in time**:
\[
3 \text{ years}
\]
Now we can substitute these values into the formula:
\[
\text{Rate of change} = \frac{750}{3} = 250
\]
Thus, the constant rate of change is **$250 per year**.
\[
\text{Rate of change} = \frac{\text{Change in account value}}{\text{Change in time}}
\]
1. **Change in account value**:
\[
1750 - 1000 = 750
\]
2. **Change in time**:
\[
3 \text{ years}
\]
Now we can substitute these values into the formula:
\[
\text{Rate of change} = \frac{750}{3} = 250
\]
Thus, the constant rate of change is **$250 per year**.