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

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.

In 2030, the population of the state will be 0.83 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.
In 2030, the population of the state will be 54.9 million people.

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

is this correct

Yes, that is correct. In 2030, the population of the state is predicted to be 60.83 million people based on the given linear model.

Your teacher surveyed the class to determine the number of hours that each student spent on social media. Your teacher created a table and scatterplot graph that displayed the number of hours, x, and the average final grade percentage, y, based on the hours. Using the equation of the trend line of the data, y=–7.2x+98.9, predict the average final grade percentage, to the nearest whole number, if a student spent 10 hours on social media.(1 point)

Responses

The average final grade is 7.2 if a student spent 10 hours on social media.
The average final grade is 7.2 if a student spent 10 hours on social media.

The average final grade is 99% if a student spent 10 hours on social media.
The average final grade is 99% if a student spent 10 hours on social media.

The average final grade is 27% if a student spent 10 hours on social media.
The average final grade is 27% if a student spent 10 hours on social media.

The average final grade is 92% if a student spent 10 hours on social media.
The average final grade is 92% if a student spent 10 hours on social media.
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The average final grade percentage, to the nearest whole number, if a student spent 10 hours on social media is 21%.

you right??

Apologies for the confusion. I made an error in my previous response.

Using the equation of the trend line, y = -7.2x + 98.9, if a student spent 10 hours on social media, we need to substitute x = 10 into the equation to find the predicted value for y.

y = -7.2(10) + 98.9
y = -72 + 98.9
y = 26.9

Therefore, the average final grade percentage, to the nearest whole number, if a student spent 10 hours on social media is 27%.