SOLUTION: Let G(v) be a linear function representing the grade point average of a high school student who plays video games for v minutes a day. When a student plays video games for 85 minut
Question 821615: Let G(v) be a linear function representing the grade point average of a high school student who plays video games for v minutes a day. When a student plays video games for 85 minutes a day, the student's grade point average is 2.89. When a student plays video games for 155 minutes a day, the student's grade point average is 2.05.
a. Determine the formula for the linear function G(v).
b. Give a practical interpretation of the slope in terms of grade point average and amount of time spent playing video games. Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Plot = min/day on the horizontal axis
Plot = GPA on the vertical axis
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You are given 2 points on the line:
( 85, 2.85 ) and
( 155, 2.05 )
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Use the general point-slope formula:
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check:
does it go through ( 85,2.85 )?
( error due to rounding off? )
You can test the other point
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(b)
The slope is the drop in GPA for each additional minute
played on video games
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Here's the plot:
As you can see, if you play about 6 hours a day,
your GPA drops to zero
