The population growth of a state since 2000 in millions of people is represented by a linear model. Using the trend line y = 0.83x + 30 predict the population y in the year 2030. Let x = 30 because the year 2030 is 30 years after the year 2000
To predict the population in the year 2030, 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 in the year 2030 is 54.9 million people.
To predict the population in the year 2030 using the given linear model, substitute the value of x = 30 into the equation y = 0.83x + 30.
Step 1: Replace x with 30 in the equation:
y = 0.83(30) + 30
Step 2: Perform the multiplication and addition:
y = 24.9 + 30
Step 3: Simplify:
y = 54.9
Therefore, the predicted population in the year 2030 is approximately 54.9 million people.