A sign in a bakery gives these options: - 12 cupcakes for \( \$ 29 \) - 24 cupcakes for \( \$ 56 \) - 50 cupcakes for \( \$ 129 \) (Part A) Find the unit price to the nearest cent, and show your reason your work.

To find the unit price for each option, we divide the total price by the number of cupcakes. For 12 cupcakes at \( \$ 29 \): Unit price = \( \frac{29}{12} \approx 2.42 \) (rounded to the nearest cent). For 24 cupcakes at \( \$ 56 \): Unit price = \( \frac{56}{24} \approx 2.33 \) (rounded to the nearest cent). For 50 cupcakes at \( \$ 129 \): Unit price = \( \frac{129}{50} = 2.58 \) (rounded to the nearest cent). So the unit prices are approximately: - \( \$ 2.42 \) per cupcake for 12 cupcakes - \( \$ 2.33 \) per cupcake for 24 cupcakes - \( \$ 2.58 \) per cupcake for 50 cupcakes The lowest unit price is for the 24 cupcakes at \( \$ 2.33 \) each.