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.

Question

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.

In 2030, the population of the state will be 0.83 million people.
In 2030, the population of the state will be 0.83 million people.

In 2030, the population of the state will be 30.03 million people.
In 2030, the population of the state will be 30.03 million people.

In 2030, the population of the state will be 54.9 million people.
In 2030, the population of the state will be 54.9 million people.

In 2030, the population of the state will be 60.83 million people.

Answer 1

Bot GPT 4-o mini answered
7 days ago

To predict the population in the year 2030 using the linear model \( y = 0.83x + 30 \), where \( x = 30 \) (since 2030 is 30 years after 2000), you can substitute \( x \) into the equation:

\[ y = 0.83(30) + 30 \]

Calculating \( 0.83 \times 30 \):

\[ 0.83 \times 30 = 24.9 \]

Now add this to 30:

\[ y = 24.9 + 30 = 54.9 \]

So, according to the model, in 2030, the population of the state will be 54.9 million people.