SOLUTION: Boomtown's population of 350,000 increases by 15,000 per year, and Ghostville's population of 200,000 decreases by 10,000 per year. In how many years will Boomtown's population be

Question 61267This question is from textbook Algebra 1 An Integrated Approach
: Boomtown's population of 350,000 increases by 15,000 per year, and Ghostville's population of 200,000 decreases by 10,000 per year. In how many years will Boomtown's population be five times that of Ghostville? This question is from textbook Algebra 1 An Integrated Approach

Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!
Let population of Boomtown, where y is the number of years into the future.
Let population of Ghostville, .
We want to know the value of y where .
So, .
Or, .
Subtract 350000 from both sides: .
Add 50000y to both sides: so .
In 10 years Boomtown will have 5 times as many people as Ghostville.
Verify:
In 10 years .
In 10 years , which is 1/5 of B.
RELATED QUESTIONS
Choose the best answer to the following question. Explain your reasoning with one or more (answered by ikleyn)

algebra.com a george monkey is in the process of negotiating his first contract. the... (answered by ikleyn)

A city has a population of 300,000 people. Suppose that each year the population grows by (answered by Theo,ikleyn)

A population numbers 12,000 organisms initially and decreases by 2% each year. Suppose (answered by greenestamps)

A population numbers 19,000 organisms initially and decreases by 7% each year. Suppose (answered by ikleyn,math_tutor2020)

if the U.S grows at an annual rate of 7.5%, how long will take to reach a population of... (answered by mananth,jsmallt9,ikleyn,josgarithmetic)

Company A’s revenue this fiscal year is $918,000 , but its revenue is decreasing by... (answered by Shin123,ikleyn)

The population of a town is modelled by P(t) = -t^2 + 12t + 4, where P(t) is the number... (answered by jim_thompson5910)

Adam’s annual salary is RM120,000 and his total expenses is RM90,000. His salary... (answered by mananth)