In a lab experiment, a population of 100 bacteria is able to quadruple every hour. Which equation matches the number of bacteria in the population after 4 hours?Answer
Question
In a lab experiment, a population of 100 bacteria is able to quadruple every hour. Which equation matches the number of bacteria in the population after 4 hours?Answer
Solution
The initial population of bacteria is 100 and it quadruples every hour. This means that the population is multiplied by 4 every hour.
After 1 hour, the population is 100 * 4 = 400. After 2 hours, the population is 400 * 4 = 1600. After 3 hours, the population is 1600 * 4 = 6400. After 4 hours, the population is 6400 * 4 = 25600.
So, the equation that matches the number of bacteria in the population after 4 hours is:
P = 100 * 4^t
where: P is the population size, t is the time in hours.
For t = 4 hours, the equation becomes:
P = 100 * 4^4 = 25600.
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