Answer:
Therefore, if Derrick wants to spend a maximum of $50 and he intends to buy a maximum of 8 tacos, then the general admission option is the cheapest. If he intends to buy 9 or more tacos, then the VIP option is the cheapest.
Explanation:
To determine how many tacos Derrick must buy for each pricing option to be the cheapest, we can set up separate equations for each pricing option based on the total cost. Let's assume Derrick wants to spend a maximum of $50 on admission and tacos.
For the general admission option:
Total cost = 15 + 4x, where x is the number of tacos
We want to find the value of x that makes the total cost the same or less than $50:
15 + 4x ≤ 50
4x ≤ 35
x ≤ 8.75
For the VIP option:
Total cost = 36 + 1.5x, where x is the number of tacos
We want to find the value of x that makes the total cost the same or less than $50:
36 + 1.5x ≤ 50
1.5x ≤ 14
x ≤ 9.33