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)

Question

Responses

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 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 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.

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.
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Answer 1

To predict the average final grade percentage using the equation of the trend line \( y = -7.2x + 98.9 \), we will substitute \( x = 10 \) (the number of hours spent on social media) into the equation.

\[ y = -7.2(10) + 98.9 \]

Calculating this gives:

\[ y = -72 + 98.9 = 26.9 \]

Rounding this to the nearest whole number results in:

\[ y \approx 27 \]

So, the predicted average final grade percentage if a student spent 10 hours on social media is 27%.

The correct response is:

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