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 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 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 7.2 if a student spent 10 hours on social media

Answer 1

To predict the average final grade percentage when a student spends 10 hours on social media using the given equation of the trend line \(y = -7.2x + 98.9\), we can substitute \(x = 10\) into the equation:

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

Calculating this gives:

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

Rounding to the nearest whole number, the average final grade percentage is approximately **27%**.

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