Dr. Silas studies a culture of bacteria under a microscope. The function b,(t) = 1200(1.8) ^t represents the number of bacteria t hours after Dr. Silas begins her study. ( Will Mark Brainliest please only leave an answer if you know how to solve. No Plagiarism Please.

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Dr. Silas studies a culture of bacteria under a microscope. The function = represents the number of bacteria t hours after she begins her study.

(a) What does the value of 1200 represent in this situation?

(b) What is the percent of growth or decay?

(c) Approximately how many bacteria are present at t= 5 hours ?

(d) The number of bacteria in a second study is modeled by the function . Will the bacteria present in both studies ever be equal for a certain value of t? Why or why not?

Function representing the number of bacteria after t hours is,

a). Here 1200 is the initial population of the bacterial population.

b). We can rewrite the function as,

Here. denotes 80% growth in the bacterial population.

c). For t = 5 hrs,

         ≈ 22674 bacteria

d). Since, initial number of bacteria in both the studies are same and growing with the same rate.

Therefore, bacterial population will never be same at any point of moment.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

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