Answer: 750 < p < 1500Step-by-step explanation:The total cost of the affair for p attendees is ... 750 +2.25pThe average cost is that number divided by p. The answer choices suggest that "between" means that the cost per person cannot be 2.75 or 3.25. Applying the limits to the average cost, we get ... 2.75 < (750 +2.25p)/p < 3.25 2.75 < 750/p + 2.25 < 3.25 . . . . . . . . separating the fraction parts 0.50 < 750/p < 1.00 . . . . . . . . . . . . . . subtract 2.25 2 > p/750 > 1 . . . . . . . . . . . . . . . . . . . . . take the reciprocal* 1500 > p > 750 . . . . . . . . matches choice 4_____* Taking the reciprocals of numbers with the same sign reverses their order: 2 < 3 but 1/2 > 1/3__An alternate approach to the solution would be to multiply by p: 0.50p < 750 < 1.00pTo solve this requires it be made into two inequalities: 0.50p < 750 ⇒ p < 1500and 750 < 1.00p ⇒ 750 < pThen these would need to be recombined to form the answer: 750 < p < 1500