A team of researchers is monitoring the population of crickets in a particular town. They do not know exactly how many crickets are remaining, but the model they use represents the minimum number of crickets remaining in the town. According to their model, the minimum number of the species remaining, in thousands, multiplies by 10 every month. The researchers determine that right now, the population of crickets is at least 5 thousand. Once the minimum population reaches 1 million, measures are taken to stop the increase in population.
A team of researchers is monitoring the population of crickets in a particular town. They do not know exactly how many crickets are remaining, but the model they use represents the minimum number of crickets remaining in the town. According to their model, the minimum number of the species remaining, in thousands, multiplies by 10 every month. The researchers determine that right now, the population of crickets is at least 5 thousand. Once the minimum population reaches 1 million, measures are taken to stop the increase in population.
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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![### Monitoring Cricket Population Growth
A team of researchers is monitoring the population of crickets in a particular town. They do not know exactly how many crickets are remaining, but the model they use represents the minimum number of crickets remaining in the town.
According to their model, the minimum number of the species remaining, in thousands, multiplies by \(10\) every month. The researchers determine that right now, the population of crickets is at least \(5\) thousand. Once the minimum population reaches \(1\) million, measures are taken to stop the increase in population.
If \(P\) represents the actual population of crickets in the town, in thousands, and \(t\) represents the time, in months, which of the following systems of inequalities can be used to determine the possible number of crickets in the town over time?
### Options:
A.
\[
P \geq 5(10)^t \\
P \leq 1,000t
\]
B.
\[
P \geq 10(5)^t \\
P \leq 1,000t
\]
C.
\[
P \geq 10(5)^t \\
P \leq 1000
\]
D.
\[
P \geq 5(10)^t \\
P \leq 1000
\]
**Note:** Click "Reset" to clear your selection and start over, or "Next" to proceed with your choice.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc6f3c32-694d-43a3-9d98-4837519070f4%2F02d4067e-bafa-4c9a-a9f8-4c106cb8eb40%2Fubjcjsm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Monitoring Cricket Population Growth
A team of researchers is monitoring the population of crickets in a particular town. They do not know exactly how many crickets are remaining, but the model they use represents the minimum number of crickets remaining in the town.
According to their model, the minimum number of the species remaining, in thousands, multiplies by \(10\) every month. The researchers determine that right now, the population of crickets is at least \(5\) thousand. Once the minimum population reaches \(1\) million, measures are taken to stop the increase in population.
If \(P\) represents the actual population of crickets in the town, in thousands, and \(t\) represents the time, in months, which of the following systems of inequalities can be used to determine the possible number of crickets in the town over time?
### Options:
A.
\[
P \geq 5(10)^t \\
P \leq 1,000t
\]
B.
\[
P \geq 10(5)^t \\
P \leq 1,000t
\]
C.
\[
P \geq 10(5)^t \\
P \leq 1000
\]
D.
\[
P \geq 5(10)^t \\
P \leq 1000
\]
**Note:** Click "Reset" to clear your selection and start over, or "Next" to proceed with your choice.
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