Answer:The situation described can be modeled using a discrete function, as the values and changes in the situation are quantized and distinct.
1. **Function Rule:**
Let \(A\) represent the amount of money in the bank account and \(n\) represent the number of times Amy deposits money. Each time she deposits $5, the total amount in the account increases by $5.
The function rule can be expressed as:
\[A(n) = 20 + 5n\]
Where:
- \(A(n)\) is the amount of money in the account after \(n\) deposits.
- \(20\) represents the initial amount of $20 in the account.
- \(5n\) represents the total amount deposited (\$5 deposited per deposit, \(n\) times).
2. **Discrete or Continuous:**
The situation is discrete. In this context, discrete means that the variable (number of deposits) takes on distinct, separate values. Amy can only make a maximum of 3 deposits (\(n = 0, 1, 2, 3\)), and she can't make a fraction of a deposit. Each deposit increment is distinct and separate from the others. There are no "in-between" values that would characterize a continuous situation, like measuring time or temperature, where values can exist within a range and can be infinitely subdivided.
In summary, the function \(A(n) = 20 + 5n\) models the discrete situation where Amy deposits $5 into her bank account a maximum of 3 times, and this scenario is classified as discrete because the number of deposits and the resulting account balance are quantized into distinct and separate values.
Explanation: