Step 1 :The problem states that the bacteria doubles every day. This means that the number of bacteria is multiplied by 2 each day.
Step 2 :Therefore, the formula that represents this situation is \(p=21(2)^{t}\), where \(p\) is the number of bacteria, \(21\) is the initial number of bacteria, \(2\) is the rate of growth, and \(t\) is the number of days.
Step 3 :Final Answer: The formula that represents the number of bacteria, \(p\), in the culture after \(t\) days is \(\boxed{p=21(2)^{t}}\).