Final answer:
Marques can buy between 10 to 13 tacos after purchasing 8 hotdogs with his $50 budget, ensuring he meets the minimum requirement of 18 items in total while staying within his budget.
Step-by-step explanation:
The question asks us to determine all possible values for the number of tacos Marques could buy if he buys 8 hotdogs and has $50 to spend, with each hotdog costing $3 and each taco costing $2. Marques must buy a minimum of 18 items (hotdogs and tacos combined).
Since Marques decided to buy 8 hotdogs, the cost for the hotdogs would be 8 hotdogs × $3/hotdog = $24. This leaves Marques with $50 - $24 = $26 to spend on tacos. Each taco costs $2, so Marques could buy up to $26 × 1 taco/$2 = 13 tacos. However, we also have to consider that Marques must buy at least 18 items in total. Since he already has 8 hotdogs, he needs to buy at least 18 - 8 = 10 tacos to meet the minimum quantity requirement.
Therefore, the all possible values for the number of tacos Marques can buy are 10, 11, 12, and 13 tacos. If he buys more than 13 tacos, he would exceed his $50 budget, and if he buys less than 10 tacos, he would not meet the minimum quantity of 18 items.