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

Question

, predict the population, y
, in the year 2030. Let x=30
because the year 2030 is 30 years after the year 2000.

Answer 1

To predict the population in the year 2030 using the given linear model \( y = 0.83x + 30 \), where \( x \) represents the number of years since 2000, you will substitute \( x = 30 \) into the equation.

So the equation becomes:

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

Calculating that:

1. First, calculate \( 0.83 \times 30 \):

   \[ 0.83 \times 30 = 24.9 \]

2. Then add 30 to that result:

   \[ y = 24.9 + 30 = 54.9 \]

Thus, the predicted population in the year 2030 is approximately 54.9 million people.