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 point)
• In 2030, the population of the state will be 60.83 million people.
• In 2030, the population of the state will be 30.03 million people.
• In 2030, the population of the state will be 0.83 million people.
In 2030, the population of the state will be 54.9 million people.
1 answer
To predict the population in the year 2030 using the given linear model \( y = 0.83x + 30 \), we need to substitute \( x = 30 \) into the equation.
\[ y = 0.83(30) + 30 \]
Calculating it step by step:
Multiply \( 0.83 \) by \( 30 \): \[ 0.83 \times 30 = 24.9 \]
Add \( 30 \) to the result: \[ 24.9 + 30 = 54.9 \]
Thus, using the trend line, the predicted population of the state in the year 2030 is:
In 2030, the population of the state will be 54.9 million people.
