Question 2

g + 100 equals 150.

To find the value of g + 100, we first determine the value of g using the average of g and 100. Since the average is given as 75, we can set up the equation (g + 100) / 2 = 75, which leads us to conclude that g + 100 equals 150.

A) 50

Option A is incorrect because if g + 100 were 50, then g itself would have to be -50. Substituting -50 back into the average calculation would not yield 75, contradicting the given information.

B) 125

Option B is not correct. If g + 100 were 125, then g would equal 25. When substituting 25 into the average calculation, (25 + 100) / 2 results in 62.5, which does not match the stated average of 75.

C) 150

This option is correct. If we calculate g + 100 as 150, then g must be 50. When we substitute g = 50 into the average calculation, we find (50 + 100) / 2 = 75, which confirms that the average is indeed 75.

D) 175

Option D is incorrect. If g + 100 were 175, g would equal 75. Substituting this back into the average calculation gives (75 + 100) / 2 = 87.5, which does not correspond to the average of 75 provided in the question.

Conclusion

The value of g + 100 is definitively 150, as it correctly satisfies the average condition outlined in the question. Options A, B, and D fail to meet the average requirement, confirming that C is the only valid choice.