Final answer:
The algebraic expression to represent the cost of breakfast on the field trip is T = 150 * c_1 + 200 * c_2, where c_1 is the cost of one omelet and c_2 is the cost of one glass of orange juice.
Step-by-step explanation:
To represent the cost of breakfast for the field trip using an algebraic expression, we need to use two variables to represent the unknown costs: let's say c_1 is the cost of one omelet and c_2 is the cost of one glass of orange juice. The school ordered 150 omelets and 200 glasses of orange juice. Therefore, the total cost (T) can be represented by the equation:
T = 150 × c_1 + 200 × c_2
In this expression, to find the total cost of the breakfast, you would multiply the number of omelets (150) by the cost per omelet (c_1), and add it to the product of the number of glasses of orange juice (200) and the cost per glass of orange juice (c_2).