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

25 tacos
25 tacos

24 tacos
24 tacos

27 tacos
27 tacos

26 tacos

1 answer

To find the maximum number of tacos a customer can order with $100, we need to determine the cost per taco.

From the given sequence:

  • The cost for 1 taco is $3.75.
  • The cost for 2 tacos is $7.50.
  • The cost for 3 tacos is $11.25.

Each taco costs $3.75.

Now, we can calculate how many tacos can be bought with $100 by dividing the total amount by the cost of one taco:

\[ \text{Number of tacos} = \frac{100}{3.75} \]

Calculating that:

\[ \frac{100}{3.75} = \frac{100 \times 100}{375} = \frac{10000}{375} \approx 26.67 \]

Since we cannot order a fraction of a taco, we round down to the nearest whole number.

Thus, the maximum number of tacos that can be ordered is 26.

So the answer is 26 tacos.