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The number of acres of wetland infested by an invasive plant species after t Years is given by u(t)=12•2^t/3. Solve the equation u(t)=50. What does your answer tell you about the wetland?

User Melllvar
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1 Answer

5 votes
For this case we have the following equation:
u (t) = 12 • 2 ^ t / 3
We equate the equation for u (t) = 50.
We have then:
12 • 2 ^ t / 3 = 50
We clear the value of t:
2 ^ t / 3 = 50/12
log2 (2 ^ t / 3) = log2 (50/12)
t / 3 = log2 (50/12)
t = 3 * log2 (50/12)
t = 6.2 years
Answer:
After 6.2 years 50 acres of wetland are infested by an invasive plant species
User Sweetgigi
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8.3k points
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