Question

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 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 27% if a student spent 10 hours on social media.

Answer 1

To predict the average final grade percentage for a student who spent 10 hours on social media, we will substitute \( x = 10 \) into the equation of the trend line:

\[ y = -7.2x + 98.9 \]

Substituting \( x = 10 \):

\[ y = -7.2(10) + 98.9 \] \[ y = -72 + 98.9 \] \[ y = 26.9 \]

Rounding to the nearest whole number, the predicted average final grade percentage is:

\[ \text{Average final grade} \approx 27% \]

So, the correct answer is: The average final grade is 27% if a student spent 10 hours on social media.