Lhe msect t months a 60(1+0.4t) P(t) = 0.01t+3

PREALGEBRA
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Chapter1: Whole Numbers
Section1.3: Subtract Whole Numbers
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Could you please answer the d question

Math 1314
Lab 4
page 5
7. A rare species of insect was discovered in the rain forest. In order to protect the species,
environmentalists declare the insect endangered and transplant the insects into a protected area.
The population of the insect t months after being transplanted is given by P(t).
60(1+0.4t)
0.01t +3
P(t) =
a. How many insects were discovered? In other words, what was the population when t = 0?
PCo)
60 (it 0.4 (0) )
20
0.01.(0) t3
b. What will the population be after 5 years? Round to the nearest whole insect.
8 (60)
60 ( It 0.4 (66))
2 417
0.01.(60 ) +3
c. Determine the horizontal asymptote of P(t).
Describe what the horizontal asymptote means in the context of the problem. Use the value of
the horizontal asymptote in the explanation. Answer in a complete sentence using proper
grammar and correct spelling.
60 x 0.4
p(t) =
2400
Ime cut the edge
the graph
tik is a g h given
horizontal
tite
Hori 20ntal
funchion
d. Sketch the graph of P(t).
asy mp
It seems fo coincide wth it but does nt aetually coincide with thiline.
Transcribed Image Text:Math 1314 Lab 4 page 5 7. A rare species of insect was discovered in the rain forest. In order to protect the species, environmentalists declare the insect endangered and transplant the insects into a protected area. The population of the insect t months after being transplanted is given by P(t). 60(1+0.4t) 0.01t +3 P(t) = a. How many insects were discovered? In other words, what was the population when t = 0? PCo) 60 (it 0.4 (0) ) 20 0.01.(0) t3 b. What will the population be after 5 years? Round to the nearest whole insect. 8 (60) 60 ( It 0.4 (66)) 2 417 0.01.(60 ) +3 c. Determine the horizontal asymptote of P(t). Describe what the horizontal asymptote means in the context of the problem. Use the value of the horizontal asymptote in the explanation. Answer in a complete sentence using proper grammar and correct spelling. 60 x 0.4 p(t) = 2400 Ime cut the edge the graph tik is a g h given horizontal tite Hori 20ntal funchion d. Sketch the graph of P(t). asy mp It seems fo coincide wth it but does nt aetually coincide with thiline.
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