Answer:
We conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
Step-by-step explanation:
We know that when y varies directly with x, the equation is
y ∝ x
y = kx
k = y/x
where 'k' is called the proportionality constant.
From the table,
For the point (2, 7)
k = y/x
   = 7/2
   = 3.5
For the point (4, 14)
k = y/x
    = 14 / 4
    = 7/2
     = 3.5
For the point (5, 17.50)
k  = y/x 
    = 17.5 / 5
    = 3.5
For the point (9, 31.50)
k  = y/x 
    = 31.50 / 9
    = 3.5
From the above calculations, we computed that the value of the proportionality constant remains the same.
Thus, the table of numbers represents a proportional relationship.
Therefore, the equation becomes
y = kx
The price of 2 board game
y = 3.5 (2)
   = 7
The price of 4 board game
y = 3.5 (4)
   = 14
Therefore, we conclude that the price is 3.5 times the number of board games.
Hence, option B is true.