Question

The given table shows the game recommendation for two different players. The algorithm works when the number of games played per hour is the same.
Which option represents the above condition?

• A. None of them
• B. Both of the players
• C. Player 2
• D. Player 1

Answer 1

The correct option is B Both of the players

Let us consider Player 1:

x: Time (in hours)	y: Games played
3	6
4	8
5	10

Consider any two coordinates, say (3,6) and (4,8).

$\text{Slope}=\frac{\text{Change in y}}{\text{Change in x}}=\frac{8-6}{4-3}$

$\Rightarrow \text{Slope = 2}$

Consider any other two coordinates, say (4,8) and (5,10).

$\text{Slope}=\frac{\text{Change in y}}{\text{Change in x}}=\frac{10-8}{5-4}$

$\Rightarrow \text{Slope = 2}$

Hence, the function has a constant slope. It shows that number of games played per hour is always the same.

∴ Player 1 satisfies the given condition.

Let us consider player 2:

x: Time (Hours)	y: Games played
3	7
4	9
5	11

Consider any two coordinates, say (3,7) and (4,9).

$\text{Slope}=\frac{\text{Change in y}}{\text{Change in x}}=\frac{9-7}{4-3}$

$\Rightarrow \text{Slope = 2}$

Consider any other two coordinates, say (4,9) and (5,11).

$\text{Slope}=\frac{\text{Change in y}}{\text{Change in x}}=\frac{11-9}{5-4}$

$\Rightarrow \text{Slope = 2}$

Thus, the function has a constant slope. It also shows that number of games played per hour is always the same.

∴ Player 2 satisfies the given condition.

So, both the players satisfy the given condition.