50 bacteria land on your tooth and they quadruple in number every hour, what is the equation?
+26387 50 bacteria land on your tooth and they quadruple in number every hour, what is the equation?
\(\begin{array}{|l|lcl|} \hline \text{now} & 50 \ \text{ bacteria} &=& 50 \cdot 4^0 \ \text{ bacteria}\\ \text{after } 1 \text{ hour} & 50\cdot 4 \ \text{ bacteria} &=& 50 \cdot 4^1 \ \text{ bacteria}\\ \text{after } 2 \text{ hours} & (50\cdot 4^1)\cdot 4 \ \text{ bacteria} &=& 50 \cdot 4^2 \ \text{ bacteria}\\ \text{after } 3 \text{ hours} & (50\cdot 4^2)\cdot 4 \ \text{ bacteria} &=& 50 \cdot 4^3 \ \text{ bacteria}\\ \text{after } 4 \text{ hours} & (50\cdot 4^3)\cdot 4 \ \text{ bacteria} &=& 50 \cdot 4^4 \ \text{ bacteria}\\ \text{after } 5 \text{ hours} & (50\cdot 4^4)\cdot 4 \ \text{ bacteria} &=& 50 \cdot 4^5 \ \text{ bacteria}\\ \cdots & \cdots&&\cdots\\ \text{after } n \text{ hours} & &=& 50 \cdot 4^n \ \text{ bacteria}\\ \hline \end{array}\)
