Question

The population growth of a state since 200 in million of people is represented by a linear model. Using the trend line, y= 0.83x+30, predicted by a linear model. Using the trend line, y, in the year 2030. Let x=30 because the year 2030 is 20 years after 200.

Answer 1

To find the predicted population growth of the state in the year 2030 using the trend line, we substitute x = 30 into the equation:

y = 0.83x + 30

y = 0.83(30) + 30

y = 24.9 + 30

y = 54.9

Therefore, the predicted population growth of the state in the year 2030 is 54.9 million people.