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.

Question

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.

Answer 1

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 |
---
-1.8 |
4.6 |