Part a. A plate inoculated with a sample volume of 10^-7 mL produced 170 colonies. What was the original concentration in the sample? Show work.Part b. After incubation, how many colonies should be on the 10^-8 mL plate from the dilution series in Part a? Show work.Part c. After incubation, how many colonies should be on the 10^-6 mL plate from the dilution series in Part a? Show work.