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 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.
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.
1 answer
To predict the average final grade percentage \( y \) when a student spent 10 hours on social media (where \( x = 10 \)), we can use the equation of the trend line:
\[ y = -7.2x + 98.9 \]
Substituting \( x = 10 \) into the equation:
\[ y = -7.2(10) + 98.9 \] \[ y = -72 + 98.9 \] \[ y = 26.9 \]
Rounding to the nearest whole number, we find:
\[ y \approx 27 \]
Thus, the prediction is:
The average final grade is 27% if a student spent 10 hours on social media.
