The population of a small town is 7,000. The function p=7000+2^t
can be used to estimate p, the population of the town t years from now. Based on this function, which statement is true?
The population of a small town is 7,000. The function
can be used to estimate p, the population of the town t years from now. Based on this function, which statement is true?
The population increases at a constant rate.
The population will reach 8000 people between 9 and 10 years from now.
The population will decrease eventually.
The population will increase by over 20 people 3 years from now.
The statement that is true based on the function p=7000+2^t is:
The population will increase by over 20 people 3 years from now.
This is because when t=3, the function becomes p=7000+2^3=7000+8=7008, which is an increase of exactly 8 people from the initial population of 7000.
that is incorrect
I apologize for the error. Let me correct that.
The statement that is true based on the function p=7000+2^t is:
The population will reach 8000 people between 9 and 10 years from now.
This is because when t=9, the function becomes p=7000+2^9=7000+512=7512, and when t=10, the function becomes p=7000+2^10=7000+1024=8024. So, the population will reach 8000 people sometime between 9 and 10 years from now.