Answer: Part A: A = 2 + 2 * 0.10 * t. Part B: In this case, the amount in the account after 5 years would be $3.
Step-by-step explanation: Part A: The simple interest equation that represents the situation can be written as:
A = P + P * r * t
Where:
A represents the total amount (principal + interest) in the account,
P represents the principal investment (initial amount),
r represents the interest rate (expressed as a decimal),
t represents the time in years.
For this particular situation, we have a $2 principal investment with a 10% annual simple interest rate, so the equation becomes:
A = 2 + 2 * 0.10 * t
Part B:
1. The y-intercept of the graph represents the initial amount in the account (the principal investment). In this case, it would be $2, as it is the starting point on the y-axis.
2. The slope of the graph represents the growth rate of the account. In this case, the slope would be 0.10, which is equivalent to 10% (the annual interest rate). This means that for every year that passes, the amount in the account increases by 10%.
3. The point (5, 3) on the graph represents the situation after 5 years. The x-coordinate (5) represents the time in years, and the y-coordinate (3) represents the amount in the account. So, after 5 years, the amount in the account would be $3.
In summary, the y-intercept represents the initial amount, the slope represents the growth rate, and a point on the graph represents the situation after a specific amount of time. In this case, the amount in the account after 5 years would be $3.