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

Question

, 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.

Answer 1

To predict the average final grade percentage (\(y\)) when a student spends 10 hours on social media (\(x = 10\)), we can substitute \(x\) into the given 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, we get:

\[ y \approx 27 \]

Therefore, 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.