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?
Let's assume that in 2010, the population of the city was P0 thousand people (where P0 is the initial population).
The population increases by 4,000 people each year, so after x years (where x is the number of years after 2010), the population would have increased by 4,000 * x people.
Therefore, the population x years after 2010 can be represented by the equation:
p = P0 + 4 * x
However, since the question asks for the population in thousands of people, we need to divide both sides of the equation by 1,000:
p = (P0 + 4 * x)/1,000
Therefore, the equation that gives the city's population p (in thousands of people) x years after 2010 is:
p = (P0 + 4 * x)/1,000
What's the answer?
The answer is:
The equation that gives the city's population p (in thousands of people) x years after 2010 is:
p = (P0 + 4 * x)/1,000