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)

Question

Responses

27 tacos
27 tacos

26 tacos
26 tacos

24 tacos
24 tacos

25 tacos

Answer 1

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: $$3.75n\le 100$$

Now, we can solve for $n$: $$n\le \frac{100}{3.75}$$

Calculating the right-hand side: $$n\le \frac{100}{3.75}=26.67$$

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.