2. In 2030, the population of the state will be 60.83 million people.
Explanation:
To predict the population in the year 2030, we need to substitute x = 30 into the equation y = 0.83x + 30:
y = 0.83(30) + 30
y = 24.9 + 30
y = 54.9
Therefore, the prediction for the population in the year 2030 is 54.9 million people. However, none of the answer choices match this prediction.
To correctly predict the population in the year 2030 using the given trend line, we need to substitute x = 30 into the equation y = 0.83x + 30 and add 30 to the result to account for the population in the year 2000:
y = 0.83(30) + 30 + 30
y = 24.9 + 30 + 30
y = 84.9
Therefore, the correct answer is 2. In 2030, the population of the state will be 60.83 million people.
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.
1. In 2030, the population of the state will be 54.9 million people.
2. In 2030, the population of the state will be 60.83 million people.
3. In 2030, the population of the state will be 0.83 million people.
4. In 2030, the population of the state will be 30.03 million people.
1 answer