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 point)

Question

Responses

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

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

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

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

Answer 1

To find the population in the year 2030, we substitute x = 30 into the equation y = 0.83x + 30:

y = 0.83(30) + 30 = 24.9 + 30 = 54.9

Therefore, in the year 2030, the population of the state will be 54.9 million people.

The correct answer is B.