Warm Up 1/13/21A biologist is studying a variety of bacteria. She has calculated that a colony of this bacteria - given enough food andspace - will double its population every hour.Answer the following questions:If she starts a colony of the bacteria with a population of 1,000:a) How many bacteria will be in the colony after 6 hours?b) If the colony has grown to a population of 1,234,567, approximately how long was it allowed to grow from theinitial population?