The population of a city increases by 4,000 people each year. In 2015, 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? (1 point) Responses p = 4x + 50 p = 4 x + 50 p – 450 = 4(x – 5) p – 450 = 4( x – 5) p – 15 = 4(x – 450) p – 15 = 4( x – 450) p = 4x + 15
can u explain the answer?
The equation that gives the city's population P (in thousands of people) x years after 2010 can be derived using the given information.
Let's calculate how many years have passed from 2010 to 2015:
2015 - 2010 = 5 years
Since the population increases by 4,000 people each year, we need to multiply the number of years by 4,000 to get the total increase in population:
5 * 4,000 = 20,000
Now, we add this increase to the population in 2015 (which is 450,000 people):
450,000 + 20,000 = 470,000
Finally, since the population is given in thousands of people, we divide the final result by 1,000:
470,000 / 1,000 = 470
Therefore, the equation that gives the city's population P x years after 2010 is:
P = 4x + 470