Answer:
The number of games must a store sell in order to be eligible for a reward is 135.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of video games sold in a month by the sores.
The random variable <em>X</em> has a mean of, <em>μ</em> = 132 and a standard deviation of, <em>σ</em> = 9.
It is provided that the company is looking to reward stores that are selling in the top 7%.
That is,
.
The <em>z</em>-score related to this probability is, <em>z</em> = 1.48.
Compute the number of games must a store sell in order to be eligible for a reward as follows:



Thus, the number of games must a store sell in order to be eligible for a reward is 135.
Y = 1/3x + b
Plug in the point
3 = 1/3(2) + b
3 = 2/3 + b, b = 7/3
Solution: y = 1/3x + 7/3