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4) ¿Cuántas bacterias habrá al cabo de $5$ horas si se considera que un cultivo de $7$ bacterias se duplica por cada hora?

A) $32$

B) $35$

C) $70$

D) $224$

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Para resolver este ejercicio de crecimiento exponencial, debemos realizar los siguientes pasos:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n

\n $a=$[[0]] \n $b=$[[1]] \n $x=$[[2]] \n	Paso 1: Se debe determinar los valores $a$, $b$ y $c$ de la función exponencial $f(x)=a \\cdot b^x$, donde $a$ es la población inicial, $b$ es el tipo de crecimiento (doble, triple, etc) y $x$ es el tiempo transcurrido.
\n $f(x)=a \\cdot b^x$ \n [[2]] \n $f($[[2]]$)=$[[0]]$\\cdot$ [[1]] \n	Paso 2: Se debe sustuir los valores encontrados en el paso 1 en la función $f(x)=a \\cdot b^x$.
$f($[[2]]$)=$[[0]]$\\cdot$ [[3]]	\n Paso 3: Se debe calcular el valor de: \n [[2]] \n [[1]] \n \n
$f($[[2]]$)=$[[4]]	\n Paso 4: Se calcula el valor de: \n [[0]]$\\cdot$ [[3]] \n

Por tanto la respuesta correcta es: [[5]]

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