To understand the cost per taco, we can analyze the sequence provided:
- 1 taco: $3.75
- 2 tacos: $7.50
- 3 tacos: $11.25
- 4 tacos: $15.00
- 5 tacos: $18.75
From this pattern, we see that the total cost increases by $3.75 for each additional taco ordered.
To find the cost of \( n \) tacos, we can use the formula: \[ \text{Total Cost} = 3.75n \]
Given that the customer has $100 to spend, we need to find the maximum number of tacos \( n \) that can be ordered without exceeding this budget: \[ 3.75n \leq 100 \]
Now, we can solve for \( n \): \[ n \leq \frac{100}{3.75} \] Calculating the division: \[ n \leq 26.67 \]
Since \( n \) must be a whole number (you can't order a fraction of a taco), we take the largest whole number less than or equal to 26.67, which is 26.
Thus, the maximum number of tacos that can be ordered with $100 is 26 tacos.