The population of a city increases by 4,000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city’s population p (in thousands of people) x years after 2010?

Question

anonymous · Answer

$$P=P _{i}+4000t$$
so the population equals the initial population plus 4,000 times the number of years since the inital population recording

anonymous · Answer

we can take 2010 to be our initial population time since that is what we are looking for so 2010 is when t=0

anonymous · Answer

now 2025-2010=15 so 2025 is 15 years after 2010 so we can take 2025 to be t=15

anonymous · Answer

we have our population at 2025 and the time so using this we can solve for the initial population

anonymous · Answer

$$450,000=P _{i}+4,000*15$$

anonymous · Answer

$$450,000=P _{i}+60,000$$

anonymous · Answer

$$390,000=P _{i}$$

anonymous · Answer

wow thank you so much!