Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 28 liters per minute. There are 500 liters in the pond to start. Let $$ W $$ represent the total amount of water in the pond (in liters), and let $$ T $$ represent the total number of minutes that water has been added. Write an equation relating $$ W $$ to $$ T $$. Then use this equation to find the total amount of water after 16 minutes. Equation: Total amount of water after 16 minutes:

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To solve the problem, we need to establish the relationship between the total amount of water in the pond $$ W $$ and the time $$ T $$ in minutes.

1. **Identify the known conditions:**
   - Initial amount of water in the pond: 500 liters
   - Rate of water being added: 28 liters per minute

2. **Write the equation:**
   The total amount of water $$ W $$ in the pond after $$ T $$ minutes can be expressed as:
   $$
   W = 500 + 28T
   $$
   This equation states that the total water $$ W $$ is equal to the initial water (500 liters) plus the amount of water added over $$ T $$ minutes (which is $$ 28T $$ liters).

3. **Calculate the total amount of water after 16 minutes:**
   We will substitute $$ T = 16 $$ into the equation:
   $$
   W = 500 + 28 \times 16
   $$

Now, let's perform the calculation for $$ 28 \times 16 $$:
$$
28 \times 16 = 448
$$

Now, substitute this back into the equation for $$ W $$:
$$
W = 500 + 448 = 948
$$

Thus, the total amount of water in the pond after 16 minutes is:
$$
\text{Total amount of water after 16 minutes: } 948 \text{ liters}
$$

### Summary:
- **Equation:** $$ W = 500 + 28T $$
- **Total amount of water after 16 minutes:** 948 liters
The equation relating $$ W $$ to $$ T $$ is $$ W = 500 + 28T $$. After 16 minutes, the total amount of water in the pond is 948 liters.

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