A population of bacteria grows exponentially. A population thatinitially consists of 10,000 bacteria grows to 25,000 bacteria after 2 hours. a.Use the exponential growth function, P(t)=P0ekt, to find the value ofk. Then write a function for this population of bacteria in terms of time, t.Round the value ofktothe nearest hundredth. b.How many bacteria will the population consist of after 12 hours, rounded to the nearest hundred thousand?c. How many bacteria will the population consist of after 24 hours?