Gianna is playing an educational video game where the overall score on a given level starts at 0 and moves up or down based on progress on the level. The goal is to reach 5 points on each level.
Her score after 10 minutes and 30 minutes of play on a certain level can be represented by a and b.Her score after 10 minutes, a, is 1.4. The value of |a - b| is 3.2.
Plot all of the possible values for b, her score after 30 minutes of play.
To find all possible values for b, we can use the information given in the problem:
a = 1.4
|a - b| = 3.2
|1.4 - b| = 3.2
Now we can solve for b:
1.4 - b = 3.2 or 1.4 - b = -3.2
-b = 1.8 or -b = -4.6
b = -1.8 or b = 4.6
Therefore, the possible values for b are -1.8 and 4.6.
So, the plot for the possible values of b would be:
b |
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-1.8 |
4.6 |