1. **Stating the problem:** Jessica buys 3 pisang goreng and 2 donat for 3500. Wesley buys 4 pisang goreng and 2 donat for 4000. We want to find the determinant corresponding to the price of 1 pisang goreng. 2. **Setting up the system:** Let $x$ be the price of 1 pisang goreng and $y$ be the price of 1 donat. From Jessica: $3x + 2y = 3500$ From Wesley: $4x + 2y = 4000$ 3. **Matrix form:** The coefficient matrix is: $$\begin{bmatrix}3 & 2 \\ 4 & 2\end{bmatrix}$$ The constants vector is: $$\begin{bmatrix}3500 \\ 4000\end{bmatrix}$$ 4. **Determinant for $x$ (price of pisang goreng):** Using Cramer's rule, replace the first column with constants: $$\begin{bmatrix}3500 & 2 \\ 4000 & 2\end{bmatrix}$$ 5. **Calculate the determinant:** $$\det = (3500)(2) - (4000)(2) = 7000 - 8000 = -1000$$ 6. **Conclusion:** The determinant corresponding to the price of 1 pisang goreng is the matrix in option D: $$\begin{bmatrix}3 & 2 \\ 4 & 2 \\ 3500 & 2 \\ 4000 & 2\end{bmatrix}$$ But since the problem asks for the determinant matrix, the correct 2x2 matrix for the determinant is: $$\begin{bmatrix}3500 & 2 \\ 4000 & 2\end{bmatrix}$$ which matches option D. Therefore, the answer is option D.