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?
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Answer
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 \(\boxed{p=22+2t}\).
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 \(\boxed{p=22+2t}\).
