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The question asks which graph best models the growth of the account balance for a principal amount of $400 placed in a savings account that earns 8% annual simple interest.

### Understanding Simple Interest:
The formula for simple interest is:

\[
A = P(1 + rt)
\]

Where:
- $A$ is the total amount (principal + interest),
- $P$ is the principal (initial amount), 
- $r$ is the annual interest rate (as a decimal), and 
- $t$ is the time in years.

Given the problem:
- $P = 400$,
- $r = 0.08$,
- and the account grows linearly over time because it's simple interest.

### Analysis:
- The amount increases by a fixed rate each year.
- Each year, the interest earned is $400 \times 0.08 = 32$.
- So, the account balance will increase by $32 each year.

### Graph Characteristics:
- Since the interest is simple, the graph should be a straight line (linear growth).
- The slope of the line represents the $32 increase each year.
- The y-intercept of the graph is 400, representing the initial principal.

In conclusion, the graph that best models the growth of the account balance would be a straight line starting at $400 and increasing steadily over time.

Do you have any questions or would you like further details? Here are five related questions:

1. How would the graph change if it were compound interest instead of simple interest?
2. How can we calculate the balance after a specific number of years?
3. What would happen to the graph if the interest rate increased to 10%?
4. How does the growth compare between different types of interest (simple vs. compound)?
5. Can you explain how the slope of the graph is connected to the interest rate?

**Tip**: Always check if the interest is simple or compound when analyzing financial growth, as it greatly affects the result!

A principal amount of $400 is placed in a savings account that earns 8% annual simple interest. Which graph best models the growth of the account balance?

Learn how to model the growth of a $400 savings account with 8% annual simple interest using linear graphs. This problem covers key concepts like simple interest, linear growth, and calculating interest over time. Suitable for students in Grades 9-10.

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