Final answer:
The equation 45 - 2.50x = 11.50 models the situation of calculating the total cost of x items priced at $2.50 each.
Step-by-step explanation:
The given equation is 45 - 2.50x = 11.50. To determine which situation can be modeled by this equation, let's analyze the equation.
Option A) Finding the cost of 45 items with a discount of $2.50 each: This situation does not match the equation because it does not involve finding the difference between two values or calculating a total cost.
Option B) Calculating the total cost of x items priced at $2.50 each: This situation matches the equation, as it involves finding the total cost of x items at a certain price per item.
Option C) Determining the number of items x with a total cost of $11.50: This situation does not match the equation because it is about finding the number of items, not the total cost.
Option D) Estimating the remaining balance after spending $11.50 on items priced at $2.50 each: This situation does not match the equation because it involves subtracting a fixed cost from a given total cost.
Therefore, the situation that can be modeled by the equation is Option B) Calculating the total cost of x items priced at $2.50 each.