# Just ran into a problem with my math homework!! need help!

**Question description**

On October 3, at 10 am, you are walking past the Setauket Mill Pond and you notice that there is some algae on the surface of the pond. Being a curious and science-y sort of person, you decide to measure what percentage of the surface of the pond is covered with algae. You measure it very 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 the pond again. This time, you find that 4% of the surface of the pond is covered with algae. You know 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 a second function, L(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 linear.

2) What percentage of the surface of the pond will be covered with algae on October 31, at
10 am, if the growth of the algae is (a) exponential; and (b) linear?

## Tutor Answer

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors