Just ran into a problem with my math homework!! need help!
On October 3, at 10 am, you are walking past the Setauket Mill Pond and you notice that there issome algae on the surface of the pond. Being a curious and science-y sort of person, you decideto measure what percentage of the surface of the pond is covered with algae. You measure itvery carefully and find that 2% of the surface is covered. Now, because you are so science-y,you decide to come back on October 8, at 10 am, and measure the algae on the surface of thepond again. This time, you find that 4% of the surface of the pond is covered with algae. Youknow enough about Biology to suspect that the growth of the algae is exponential, not linear.But, of course, you could be wrong!1) Write a function, A(t), that represents the amount of algae covering the pond at time t,where t is measured in days after October 3 (at 10 am) if the growth is exponential. Write asecond function, L(t), that represents the amount of algae covering the pond at time t, where t ismeasured in days after October 3 (at 10 am) if the growth is linear.2) What percentage of the surface of the pond will be covered with algae on October 31, at10 am, if the growth of the algae is (a) exponential; and (b) linear?
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