Final answer:
The correct equation representing the total cost, y, for x cups of lemonade Jacob sells is Option B: y = 1.5x + 10, following the y = mx + b form.
Step-by-step explanation:
The question asks us to write an equation representing the total cost, y, for x cups of lemonade where Jacob sells lemonade at a park with a one-time fee and a fixed cost per cup. In the y = mx + b equation, m represents the variable cost (cost per cup of lemonade), and b represents the fixed cost (one-time fee for the table).
Referring to the example of Svetlana, who charges a one-time fee plus a per-hour rate, her earnings equation is y = 25 + 15x, where 25 is the one-time fee and 15 is the cost per hour of tutoring. This format follows the y = b + mx structure outlined in the budget constraint equation of Alphonso's case, which balances the cost of burgers and bus tickets.
From the options provided in the question, Option B (y = 1.5x + 10) aligns with this structure where 1.5 represents the fixed cost to make each cup of lemonade (m), and 10 represents the one-time fee for the table (b).