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
--------------
You are given 2 points on the line:
( 85, 2.85 ) and
( 155, 2.05 )
------------
Use the general point-slope formula:

-------------------------
check:
does it go through ( 85,2.85 )?

( error due to rounding off? )
You can test the other point
------------------------
(b)
The slope is the drop in GPA for each additional minute
played on video games
-----------------------
Here's the plot:

As you can see, if you play about 6 hours a day,
your GPA drops to zero

RELATED QUESTIONS
Let V be the set of real valued function defined on the entire real line (-∞,∞). (answered by greenestamps)

In a recent year, scores on a standardized test for high school students with a 3.50 to... (answered by Boreal)

Let V be a linear subspace of R^n. Suppose m vectors v1,...,vm span V. Prove that there (answered by venugopalramana)

A school district purchases a high-volume printer, copier, and scanner for $14,000. After (answered by josmiceli)

A movie rental costs $3 per day. A video game rental costs $4 per day. Write an algebraic (answered by algebrahouse.com)

Hello, first of all i would like to thank you for reading my question. I'm struggling (answered by ikleyn)

The amount of time that Carlos plays video games in any given week is normally... (answered by ewatrrr)

Many people believe that there is a negative relationship between the amount of time... (answered by CPhill)

In a recent year, the ACT scores for high school students with an A or B grade point... (answered by Theo)