Question
The sequence 3.75, 7.5, 11.25, 15, 18.75 represents the total cost of customer pays at a taquita based on the number of tacos ordered this means that the total cost for one taco is $3.75 to tacos at $7.50 in for three tacos at 11 dollars and 25 cents what is the maximum number of tacos you can order if the customer has $100 to spend
Answers
GPT-4o mini
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**.
- 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**.