To determine how many tacos a customer can order with $100, we first need to identify the pattern in the total cost based on the number of tacos ordered.
The sequence provided is:
- 1 taco: $3.75
- 2 tacos: $7.50
- 3 tacos: $11.25
- 4 tacos: $15.00
- 5 tacos: $18.75
From the sequence, we can observe that the total cost can be expressed as: \[ \text{Total Cost} = 3.75 \times n \] where \( n \) is the number of tacos ordered.
To find the maximum number of tacos that can be ordered with $100, we set up the following equation: \[ 3.75n \leq 100 \]
Now, we can solve for \( n \): \[ n \leq \frac{100}{3.75} \]
Calculating the right-hand side: \[ n \leq \frac{100}{3.75} = 26.67 \]
Since \( n \) must be a whole number (as you can't order a fraction of a taco), we take the largest integer less than or equal to 26.67, which is 26.
Therefore, the maximum number of tacos that can be ordered with $100 is 26 tacos.