Final answer:
To find the expected cost of the Lego pirate ship model, we calculate the price per brick from the Taj Mahal set ($0.0624 per brick) and multiply it by the number of pieces in the pirate ship set. The result is approximately $158.81.
Step-by-step explanation:
To calculate the expected cost of the new Lego pirate ship model, we first need to determine the price per brick of the Taj Mahal Lego set. To do this, we divide the cost of the Taj Mahal Lego set by the number of pieces in the set.
The cost of the Taj Mahal Lego set is $370.00, and it has 5923 pieces. We calculate the price per brick as follows:
Price per brick = Total cost / Number of pieces
Price per brick = $370.00 / 5923 pieces
Price per brick ≈ $0.0624 per brick
Now, we will use the calculated price per brick to find out the expected price of the new Lego pirate ship model. The Lego pirate ship model has 2545 pieces, so we calculate its price by multiplying the number of pieces by the price per brick:
Expected cost = Price per brick * Number of pieces
Expected cost = $0.0624 * 2545 pieces
Expected cost ≈ $158.81
Therefore, the expected cost of the new Lego pirate ship model is approximately $158.81.