Question

The graph shows the population y of a certain city over the course of 10 years x. The equation of the trend line shown is y=1.9x+21. Answer parts a and b. Click the icon to view the scatter plot. Question content area bottom. The population will reach 52,900 during year 16. Part 2 b. In the tenth​ year, the population was actually​ 2,000 people from what the trend line shows. What could the actual number of people be in 10​ years?

The actual number of people could be _ or _
​(Use ascending order. Round to the nearest thousand as​ needed.)

Answer 1

Part A is 16

Explanation:

Answer 2

The actual number of people in 10 years could be 57,000 or 56,000. The equation of the trend line is y=1.9x+21, so for any year x, the population y can be found using this equation. To find the population in 16 years, when the population is 52,900, we can plug in x=16 and solve for y to find y=52,900. To find the population in 10 years, when the population is 2,000 people from what the trend line shows, we can plug in x=10 and solve for y to find y=50,900. Since the population should be 2,000 more, the actual population in 10 years is either 57,000 (50,900 + 2,000) or 56,000 (50,900 + 1,000).