Final answer:
The correct inequality for finding the minimum number of trophies so that Company P's total charge is less than Company R is A) 3.5 + 25x < 7.5 + 17x, which simplifies to x > 0.5.
Step-by-step explanation:
The question is asking to find an inequality that represents the scenario where the total charge at Company P is less than the total charge at Company R. To find the inequality that represents x, the minimum number of trophies that can be ordered from Company P so that its total cost is less than Company R's, we need to form an expression for the cost of Company P and Company R and then set them in an inequality where Company P's cost is less than Company R's cost.
The inequality that fits this description is A) 3.5 + 25x < 7.5 + 17x. This can be simplified further to solve for x. Subtracting 17x from both sides of the inequality gives us 8x, and subtracting 3.5 from both sides gives us 4. Therefore, rearranging the inequality gives us x > 0.5, which is the minimum number of trophies that must be ordered from Company P so that the total charge is less than Company R's.