An ant colony resided in a once-empty home that was recently purchased and treated for pests. The population, in hundreds, of 7000t the ant colony is given by the equation P(t) for 7t2 + 600 t> 9 wheret is the number of hours since the pest treatment. a) Find the population of the colony at 10 hours. Round to the nearest whole number. b) Find the population of the colony at 24 hours. Round to the nearest whole number. c) Find the population of the colony at 72 hours. Round to the nearest whole number. d) What value does P(t) approach as time after treatment continues infinitely? e) What conclusion can you draw in regards to the ant colony's population at the newly purchased house?
An ant colony resided in a once-empty home that was recently purchased and treated for pests. The population, in hundreds, of 7000t the ant colony is given by the equation P(t) for 7t2 + 600 t> 9 wheret is the number of hours since the pest treatment. a) Find the population of the colony at 10 hours. Round to the nearest whole number. b) Find the population of the colony at 24 hours. Round to the nearest whole number. c) Find the population of the colony at 72 hours. Round to the nearest whole number. d) What value does P(t) approach as time after treatment continues infinitely? e) What conclusion can you draw in regards to the ant colony's population at the newly purchased house?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 15CYU
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Transcribed Image Text:An ant colony resided in a once-empty home that was recently
purchased and treated for pests. The population, in hundreds, of
7000t
the ant colony is given by the equation P(t) :
for
7t2 + 600
t> 9 wheret is the number of hours since the pest treatment.
a) Find the population of the colony at 10 hours. Round to the
nearest whole number.
b) Find the population of the colony at 24 hours. Round to the
nearest whole number.
c) Find the population of the colony at 72 hours. Round to the
nearest whole number.
d) What value does P(t) approach as time after treatment
continues infinitely?
e) What conclusion can you draw in regards to the ant colony's
population at the newly purchased house?
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