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?
a. p=4x+50***
b. p-450=4(x-15)
c. p-15=4(x-450)
d. p=4x+15
We have the point (15,450) and a slope of 4. So, using the point-slope form of the line, we choose (b)
To calculate the equation that gives the city's population p (in thousands of people) x years after 2010, we need to analyze the given information. We know that the population increases by 4,000 people each year and that in 2025, the population is projected to be 450,000 people.
First, we need to determine the number of years between 2010 (the starting year) and 2025. Since there are 10 years between 2010 and 2020, we have an additional 5 years until 2025, totaling 15 years.
Next, we need to use the information that the population increases by 4,000 people each year. Since the population is given in thousands, we can say that it increases by 4 each year.
So, the equation that represents the city's population p x years after 2010 is:
p = 4x + 15
Therefore, the correct answer is d. p = 4x + 15.