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.
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)
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