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)
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.
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.
To predict the population in the year 2030 using the linear model y=0.83x+30, we substitute x=30 (since the year 2030 is 30 years after 2000) into the equation:
y = 0.83(30) + 30
y = 24.9 + 30
y = 54.9
Therefore, the correct answer is:
B In 2030, the population of the state will be 54.9 million people.
To predict the population in the year 2030 using the given linear model (y = 0.83x + 30), we substitute the value of x = 30 into the equation since 2030 is 30 years after the year 2000.
y = 0.83(30) + 30
y = 24.9 + 30
y = 54.9
Therefore, the population of the state in the year 2030 will be 54.9 million people.
So the correct answer is B. In 2030, the population of the state will be 54.9 million people.