A culture containing 22 bacteria doubles every day. Which of the following formulas represents the number of bacteria, $p$, in the culture after $t$ days? \[ \begin{array}{l} p=22(1.2)^{t} \\ p=22^{2 t} \\ p=22(2)^{t} \\ p=22+2 t \\ p=44 t \end{array} \] Assuming the culture containing 22 bacteria increases by 2 every day, what would be the formula that represents the number of bacteria, $p$, in the culture after $t$ days? Preview

Step 1 ：The question states that the bacteria doubles every day. This means that the number of bacteria is multiplied by 2 each day. Therefore, the formula that represents the number of bacteria, $p$, in the culture after $t$ days would be $p=22(2)^{t}$.

Step 2 ：For the second part of the question, it is stated that the culture containing 22 bacteria increases by 2 every day. This means that each day, 2 bacteria are added to the culture. Therefore, the formula that represents the number of bacteria, $p$, in the culture after $t$ days would be $p=22+2t$.

Step 3 ：Final Answer: The formula that represents the number of bacteria, $p$, in the culture after $t$ days when the bacteria doubles every day is \(\boxed{p=22(2)^{t}}\). The formula that represents the number of bacteria, $p$, in the culture after $t$ days when the bacteria increases by 2 every day is \(\boxed{p=22+2t}\).