Question

City A has a current population of 500,000 people and grows at a rate of 2% per year. City B has a current population of 200,000 and grows at a rate of 5% per year. a. When will the cities have the same population? b. Suppose City C has a current population of y0 < 500,000 and a growth rate of p > 2% per year. What is the relationship between y0 and p such that the Cities A and C have the same population in 10 years? a. Let A(t) be the population of City A after t years. Give the exponential growth function for this country's population. A(t) = (Type an exact answer in terms of e. Round to three decimal places as needed.) Let B(t) be the population of City B after t years. Give the exponential growth function for this country's population. B(t) = (Type an exact answer in terms of e. Round to three decimal places as needed.) The cities will have the same population in 32 years. (Round to the nearest whole number as needed.) b. What is the relationship between y0 and p such that the Cities A and C have the same population in 10 years? A. As y0 increases, p must increase. B. As y0 decreases, p must decrease. C. y0 and p do not affect each other. D. As y0 decreases, p must increase.

          City A has a current population of 500,000 people and grows at a rate of 2% per year. City B has a current population of 200,000 and grows at a rate of 5% per year.
a. When will the cities have the same population?
b. Suppose City C has a current population of y0 < 500,000 and a growth rate of p > 2% per year. What is the relationship between y0 and p such that the Cities A and C have the same population in 10 years?
a. Let A(t) be the population of City A after t years. Give the exponential growth function for this country's population.
A(t) = 
(Type an exact answer in terms of e. Round to three decimal places as needed.)
Let B(t) be the population of City B after t years. Give the exponential growth function for this country's population.
B(t) = 
(Type an exact answer in terms of e. Round to three decimal places as needed.)
The cities will have the same population in 32 years.
(Round to the nearest whole number as needed.)
b. What is the relationship between y0 and p such that the Cities A and C have the same population in 10 years?
A. As y0 increases, p must increase.
B. As y0 decreases, p must decrease.
C. y0 and p do not affect each other.
D. As y0 decreases, p must increase.

City A has a current population of 500,000 people and grows at a rate of 2% per year. City B has a current population of 200,000 and grows at a rate of 5% per year.
a. When will the cities have the same population?
b. Suppose City C has a current population of y0 < 500,000 and a growth rate of p > 2% per year. What is the relationship between y0 and p such that the Cities A and C have the same population in 10 years?
a. Let A(t) be the population of City A after t years. Give the exponential growth function for this country's population.
A(t) =
(Type an exact answer in terms of e. Round to three decimal places as needed.)
Let B(t) be the population of City B after t years. Give the exponential growth function for this country's population.
B(t) =
(Type an exact answer in terms of e. Round to three decimal places as needed.)
The cities will have the same population in 32 years.
(Round to the nearest whole number as needed.)
b. What is the relationship between y0 and p such that the Cities A and C have the same population in 10 years?
A. As y0 increases, p must increase.
B. As y0 decreases, p must decrease.
C. y0 and p do not affect each other.
D. As y0 decreases, p must increase.

Added by Alexander T.

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