We can see here that the the correct inequality is option D: 19.25x + 15 < 17.5x + 30.
To find the inequality that can determine the maximum number of flower baskets that can be ordered for the total cost at Store A to be less than the total cost from Store B, we need to compare the costs of the two stores.
Store A charges $19.25 per flower basket plus a $15.00 delivery fee, while Store B charges $17.50 per flower basket plus a $30.00 delivery fee.
Let's set up the inequality:
Total cost at Store A < Total cost at Store B
To find the total cost at each store, we can multiply the cost per flower basket by the number of flower baskets and add the delivery fee:
Store A:
Total cost at Store A = (Cost per flower basket at Store A) * (Number of flower baskets) + (Delivery fee at Store A)
Total cost at Store A = 19.25x + 15
Store B:
Total cost at Store B = (Cost per flower basket at Store B) * (Number of flower baskets) + (Delivery fee at Store B)
Total cost at Store B = 17.50x + 30
Therefore, the inequality that represents the condition where the total cost at Store A is less than the total cost at Store B is:
19.25x + 15 < 17.50x + 30
So, the correct inequality is option D: 19.25x + 15 < 17.5x + 30.