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?
answer p – 450 = 4(x – 15)
how did you get the answerl
To find the equation, we need to consider the given information.
In 2025, the population is projected to be 450,000 people, which is equivalent to 450,000/1000 = 450 thousand people.
We also know that the population increases by 4,000 people each year.
Let's let x represent the number of years after 2010.
Since 2010 is 15 years before 2025, x years after 2010 is the same as (x-15) years after 2025.
Given that the population increases by 4,000 people each year, we can express this as an increase of 4 people per year in thousands. Therefore, the equation representing the population p in thousands of people x years after 2010 is:
p = 450 + 4(x - 15)
Simplifying the equation:
p = 450 + 4x - 60
p = 4x - 60 + 450
p = 4x + 390
This equation correctly represents the relationship between the years after 2010 and the population of the city.