Question
Question
The sequence 3.75, 7.5, 11.25, 15, 18.75, . . . represents the total cost a customer pays at a taqueria based on the number of tacos ordered. This means that the total cost for 1 taco is $3.75, for 2 tacos is $7.50, for 3 tacos is $11.25, and so on. What is the maximum number of tacos that can be ordered if a customer has $100 to spend?(1 point)
Responses
27 tacos
27 tacos
25 tacos
25 tacos
24 tacos
24 tacos
26 tacos
The sequence 3.75, 7.5, 11.25, 15, 18.75, . . . represents the total cost a customer pays at a taqueria based on the number of tacos ordered. This means that the total cost for 1 taco is $3.75, for 2 tacos is $7.50, for 3 tacos is $11.25, and so on. What is the maximum number of tacos that can be ordered if a customer has $100 to spend?(1 point)
Responses
27 tacos
27 tacos
25 tacos
25 tacos
24 tacos
24 tacos
26 tacos
Answers
GPT-4o mini
To find the maximum number of tacos that can be ordered with a budget of $100, we first need to determine the cost of each taco.
The sequence provided shows:
- 1 taco costs $3.75
- 2 tacos cost $7.5
- 3 tacos cost $11.25
- 4 tacos cost $15
- 5 tacos cost $18.75
This indicates that the cost of tacos increases by $3.75 for each additional taco. Therefore, the cost for \( n \) tacos can be represented by the formula:
\[
\text{Cost} = 3.75n
\]
We need to find the maximum \( n \) (number of tacos) such that:
\[
3.75n \leq 100
\]
To isolate \( n \), we divide both sides by 3.75:
\[
n \leq \frac{100}{3.75}
\]
Calculating the right side:
\[
n \leq \frac{100}{3.75} = 26.6667
\]
Since \( n \) represents the number of tacos, it must be a whole number. Therefore, we take the greatest whole number less than or equal to 26.6667, which is 26.
Thus, the maximum number of tacos that can be ordered for $100 is:
**26 tacos**
The sequence provided shows:
- 1 taco costs $3.75
- 2 tacos cost $7.5
- 3 tacos cost $11.25
- 4 tacos cost $15
- 5 tacos cost $18.75
This indicates that the cost of tacos increases by $3.75 for each additional taco. Therefore, the cost for \( n \) tacos can be represented by the formula:
\[
\text{Cost} = 3.75n
\]
We need to find the maximum \( n \) (number of tacos) such that:
\[
3.75n \leq 100
\]
To isolate \( n \), we divide both sides by 3.75:
\[
n \leq \frac{100}{3.75}
\]
Calculating the right side:
\[
n \leq \frac{100}{3.75} = 26.6667
\]
Since \( n \) represents the number of tacos, it must be a whole number. Therefore, we take the greatest whole number less than or equal to 26.6667, which is 26.
Thus, the maximum number of tacos that can be ordered for $100 is:
**26 tacos**