You placed a \( 11 \% \) down payment on a new home. Given that the amount of the down payment was \( \$ 18,210.18 \), determine the price of the home. Round your answer to the nearest cent. \( \begin{array}{ll}\text { a. } \$ 227,627.25 & \text { c. } \$ 182,101.80 \\ \text { b. } \$ 202,335.33 & \text { d. } \$ 165,547.09\end{array} \)

To find the price of the home, we can use the formula for the down payment: \[ \text{Down Payment} = \text{Home Price} \times \text{Down Payment Percentage} \] In this case, the down payment is \( \$ 18,210.18 \) and the down payment percentage is \( 11\% \) (or \( 0.11 \) in decimal form). We can rearrange the formula to solve for the home price: \[ \text{Home Price} = \frac{\text{Down Payment}}{\text{Down Payment Percentage}} \] Substituting the known values: \[ \text{Home Price} = \frac{18,210.18}{0.11} \] Now, we perform the calculation: \[ \text{Home Price} = \frac{18,210.18}{0.11} = 165,547.09 \] Thus, the price of the home is \( \$ 165,547.09 \). The correct answer is: \[ \text{d. } \$ 165,547.09 \]