A rare species of insect was discovered in the Amazon Rain Forest. To protect the species, environmentalists declared the insect endangered andtransplanted the insect into a protected area. The population P of the insect t months after being transplanted is P(t) = 50(1 + 0.5t)/(2 + 0.01t) (a) How many insects were discovered? In other words, what was the population when t = 0?(b) What will the population be after 5 years?(c) Determine the end behavior of P. What is the largest population that the protected area can sustain?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
A rare species of insect was discovered in the Amazon Rain Forest. To protect the species, environmentalists declared the insect endangered and
transplanted the insect into a protected area. The population P of the insect t months after being transplanted is
P(t) = 50(1 + 0.5t)/(2 + 0.01t)
(a) How many insects were discovered? In other words, what was the population when t = 0?
(b) What will the population be after 5 years?
(c) Determine the end behavior of P. What is the largest population that the protected area can sustain?
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