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.

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 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.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
7 days ago

To predict the average final grade percentage when a student spends 10 hours on social media, we can use the provided equation of the trend line:

\[ y = -7.2x + 98.9 \]

where \( x \) is the number of hours spent on social media and \( y \) is the average final grade percentage.

Plugging in \( x = 10 \):

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

Calculating this step-by-step:

  1. Calculate \(-7.2 \times 10 = -72\).
  2. Now, add this result to 98.9:

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

Rounding 26.9 to the nearest whole number gives us:

\[ y \approx 27 \]

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

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