Question
A) 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
years the account value was $1,750? (1 point)
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, which is:
\[
\text{Rate of Change} = \frac{\text{Change in Value}}{\text{Change in Time}}
\]
1. **Calculate the Change in Value**:
\[
\text{Change in Value} = \text{Final Value} - \text{Initial Value} = 1750 - 1000 = 750
\]
2. **Calculate the Change in Time**:
\[
\text{Change in Time} = \text{Final Time} - \text{Initial Time} = 3 - 0 = 3 \text{ years}
\]
3. **Calculate the Rate of Change**:
\[
\text{Rate of Change} = \frac{750}{3} = 250
\]
So, the constant rate of change is **$250 per year**.
\[
\text{Rate of Change} = \frac{\text{Change in Value}}{\text{Change in Time}}
\]
1. **Calculate the Change in Value**:
\[
\text{Change in Value} = \text{Final Value} - \text{Initial Value} = 1750 - 1000 = 750
\]
2. **Calculate the Change in Time**:
\[
\text{Change in Time} = \text{Final Time} - \text{Initial Time} = 3 - 0 = 3 \text{ years}
\]
3. **Calculate the Rate of Change**:
\[
\text{Rate of Change} = \frac{750}{3} = 250
\]
So, the constant rate of change is **$250 per year**.