To find out the maximum number of tacos that can be ordered with a budget of $100, we first need to determine the cost of each taco. Observing the given sequence:
- For 1 taco: $3.75
- For 2 tacos: $7.50
- For 3 tacos: $11.25
- For 4 tacos: $15.00
- For 5 tacos: $18.75
The cost appears to increase by $3.75 for each additional taco. This indicates a linear relationship where the total cost for \( n \) tacos can be expressed as:
\[ \text{Total Cost} = 3.75n \]
To find the maximum number of tacos \( n \) that can be bought with $100, we set up the equation:
\[ 3.75n \leq 100 \]
Now, we solve for \( n \):
\[ n \leq \frac{100}{3.75} \]
Calculating that gives:
\[ n \leq \frac{100}{3.75} = 26.67 \]
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