A pan has an original price of $32 but is marked down by 15 percent. Which equation shows the new price of the pan?

To find the new price of the pan after a 15 percent markdown, we can start with the original price and calculate the discount.

1. **Find the discount amount**:
\[
\text{Discount} = \text{Original Price} \times \text{Discount Rate}
\]
\[
\text{Discount} = 32 \times 0.15 = 4.80
\]

2. **Calculate the new price**:
\[
\text{New Price} = \text{Original Price} - \text{Discount}
\]
\[
\text{New Price} = 32 - 4.80 = 27.20
\]

Now, using equations, we can express the new price as:
\[
\text{New Price} = \text{Original Price} \times (1 - \text{Discount Rate})
\]
This can be written as:
\[
\text{New Price} = 32 \times (1 - 0.15) = 32 \times 0.85 = 27.20
\]

Among the provided options, the first equation correctly shows the calculation:
\[
(32 \text{ dollars}) \times (100\% - 15\%) = (32 \text{ dollars}) \times (85\%) = 27 \text{ dollars and } 20 \text{ cents}
\]

So, the correct response is:

\[
(32 \text{ dollars}) \times (100 \text{ percent} - 15 \text{ percent}) = (32 \text{ dollars}) \times (85 \text{ percent}) = 27 \text{ dollars and } 20 \text{ cents}
\]