To determine the maximum number of tacos that can be ordered with $100, we first need to understand the cost per taco.
From the sequence given, we can see that the total cost can be described as:
- 1 taco: $3.75
- 2 tacos: $7.50
- 3 tacos: $11.25
- ...
It appears that the cost increases by $3.75 for each additional taco.
To find out the total cost for \( n \) tacos, we can represent this with the formula: \[ \text{Cost} = 3.75 \times n \]
Setting this equal to $100: \[ 3.75n = 100 \]
Now, we can solve for \( n \): \[ n = \frac{100}{3.75} \]
Calculating that gives: \[ n = \frac{100 \times 100}{375} = \frac{10000}{375} \approx 26.67 \]
Since the number of tacos must be a whole number, we round down to the nearest whole number. Therefore, the maximum number of tacos that can be ordered is: \[ n = 26 \]
Thus, the answer is 26 tacos.