Hannah placed an online order for shirts that cost $24.50 per shirt. A tax of 7% is added to the cost of the shirts, before a flat, untaxed shipping rate of $6 is charged. Which of the following represents Hannah's total cost for s shirts, in dollars?

Options

A. `0.07(24.50s+6)`
B. `1.07(24.50+6)s`
C. `1.07(24.50s)+6`
D. `1.07(24.50+s)+6`

Answer

To find Hannah's total cost for \( s \) shirts, we will follow these steps:

### Step 1: Calculate the cost of one shirt including tax
The cost of one shirt is $24.50. A tax of 7% is added to this cost. To find the total cost of one shirt including tax, we can calculate:

\[ \text{Total cost of one shirt} = \text{Cost of shirt} + \text{Tax} \]

The tax can be calculated as follows:

\[ \text{Tax} = 7\% \text{ of } 24.50 = 0.07 \times 24.50 \]

So, the total cost of one shirt including tax is:

\[ \text{Total cost of one shirt} = 24.50 + (0.07 \times 24.50) = 24.50 \times (1 + 0.07) = 24.50 \times 1.07 \]

### Step 2: Calculate the total cost for \( s \) shirts
Now that we have the total cost of one shirt including tax, we can find the total cost for \( s \) shirts:

\[ \text{Total cost for } s \text{ shirts} = s \times \text{Total cost of one shirt} \]

Substituting the value we calculated:

\[ \text{Total cost for } s \text{ shirts} = s \times (24.50 \times 1.07) = 1.07 \times 24.50 \times s \]

### Step 3: Add the shipping cost
Finally, we need to add the flat shipping cost of $6 to the total cost of the shirts:

\[ \text{Total cost} = \text{Total cost for } s \text{ shirts} + \text{Shipping cost} \]

Substituting the values:

\[ \text{Total cost} = (1.07 \times 24.50 \times s) + 6 \]

### Final Expression
Thus, Hannah's total cost for \( s \) shirts, in dollars, is represented by:

\[ \text{Total cost} = 1.07 \times 24.50 \times s + 6 \]

### Conclusion
The correct representation of Hannah's total cost for \( s \) shirts is:

\[ \text{Total cost} = 1.07 \times 24.50 s + 6 \]