Final answer:
The inequality representing Tristan's budget for buying hotdogs and tacos is 4h + 3t ≤ 30, where 'h' is the number of hotdogs, 't' is the number of tacos, and the total cost must not exceed $30.
Step-by-step explanation:
The student's question requires us to form an inequality that represents Tristan's budget constraint when buying hotdogs and tacos at a restaurant. We are given that Tristan intends to buy hotdogs (h) at $4 each and tacos (t) at $3 each, with a budget of $30. To represent this situation mathematically, we set up an inequality where the cost of hotdogs and tacos does not exceed Tristan's budget. The inequality would be:
4h + 3t ≤ 30
This inequality states that the combined cost of hotdogs and tacos must be less than or equal to $30. Here, 'h' represents the number of hotdogs, 't' represents the number of tacos, and each term in the inequality represents the total cost of each respective item.