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.
Responses
A 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.
B 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.
C 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.
D In 2030, the population of the state will be 0.83 million people.
B In 2030, the population of the state will be 60.83 million people.
To predict the population in the year 2030 using the linear model y=0.83x+30, where x=30 represents 30 years after the year 2000, we substitute x=30 into the equation:
y = 0.83(30) + 30
y = 24.9 + 30
y = 54.9
Therefore, the population of the state in the year 2030 is predicted to be 54.9 million people.
The correct answer is C: 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, we substitute the value of x=30 into the equation y=0.83x+30.
Plugging in x=30:
y = 0.83(30) + 30
y = 24.9 + 30
y = 54.9
So, according to the linear model, the population in the year 2030 will be 54.9 million people.
Therefore, the correct answer is:
C) In 2030, the population of the state will be 54.9 million people.