Town A has a population of 12,000 and is growing by 250 people per year. Town B has a population of 15,000 and is decreasing by 150 people per year. Which equation can be used to find y, the number of years it will take for the two towns to have the same population?
- 12000 + 250y = 15000 - 150y (correct answer)
- 12000 + 250y = 15000 + 150y
- 250y - 150y = 15000 + 12000
- 12000 - 250y = 15000 + 150y
Explanation: The population of Town A after y years will be its initial population plus the growth: 12000 + 250y. The population of Town B after y years will be its initial population minus the decrease: 15000 - 150y. To find when the populations are equal, we set these two expressions equal to each other: 12000 + 250y = 15000 - 150y.