, predict the population, y
, in the year 2030. Let x=30
because the year 2030 is 30 years after the year 2000.(1 point)
Responses
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 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 60.83 million people.
In 2030, the population of the state will be 60.83 million people.
1 answer
To predict the population in the year 2030 using the linear model given by the equation \( y = 0.83x + 30 \), we can substitute \( x = 30 \) into the equation (since 2030 is 30 years after 2000):
\[ y = 0.83(30) + 30 \]
Calculating \( 0.83 \times 30 \):
\[ 0.83 \times 30 = 24.9 \]
Now, adding 30:
\[ y = 24.9 + 30 = 54.9 \]
Therefore, the predicted population in 2030 will be:
In 2030, the population of the state will be 54.9 million people.
