Final answer:
The question seems to confuse several details but is primarily about constructing a budget model for Marie's weekly expenses on magazines and pies. The recursive formula and explicit equation can be crafted once the prices of magazines and pies are known. The mention of tickets does not fit the context provided and is thus not applicable.
Step-by-step explanation:
The student question appears to ask about creating a budget table and finding the recursive formula and explicit equation for a particular budget model. However, the information provided references a character named Jeremy and his budget options, but the actual problem to be solved is for a character named Marie. Therefore, I will address the question using the context of Marie's budget, as that is the most consistent with the 'PROBLEMS' section provided.
Recursive Formula and Explicit Equation
To write a recursive formula for Marie's budget model, we would need an initial condition and a way to express the budget after each purchase. For example, if M represents magazines and P represents pies, with x_m and x_p being their respective costs, and we know Marie starts with a $24 budget (B_0), a recursive formula might look like this:
- B_n = B_(n-1) - x_mp*M - x_pp*P, where B_(n-1) is the budget from the previous week after purchases.
An explicit equation would directly relate the number of magazines and pies Marie can buy to her total budget. If one magazine costs $x_m and one pie costs $x_p, and we denote the number of magazines by M and pies by P, then the equation might be expressed as:
Without knowing the exact prices of magazines and pies, we cannot complete the explicit equation.
Possible Number of Tickets
The question about how many tickets she can buy before running out of money does not relate to the information provided and seems to be a typo or an irrelevant part that should be ignored. Based on the information given, we are dealing with the budget for magazines and pies, not tickets.