Use the table to answer the question.

Question

Items Number of Orders
Breakfast Sandwich and Orange Juice 13
Muffins and Orange Juice 27
Breakfast Sandwich and Milk 23
Muffins and Milk  16
Mitch owns a coffee shop and keeps track of how many orders he fills and in what combination of items they are during the first hour his shop is open. Combinations include either a breakfast sandwich or muffin and either orange juice or milk. 

Mitch needs to predict how many orders of a breakfast sandwich and a cup of orange juice he would expect to sell if he had 1,765 customers. 

(1 point)
Responses

291 orders
291 orders

358 orders
358 orders

79 orders
79 orders

604 orders
604 orders
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Answer 1

To predict how many orders of a breakfast sandwich and a cup of orange juice Mitch would expect to sell if he had 1,765 customers, we first need to determine the total number of orders in the sample data provided.

Let's calculate the total number of orders from the table:

• Breakfast Sandwich and Orange Juice: 13
• Muffins and Orange Juice: 27
• Breakfast Sandwich and Milk: 23
• Muffins and Milk: 16

Total Orders = 13 + 27 + 23 + 16 = 79 orders.

Now, we can find the proportion of orders that were for the breakfast sandwich and orange juice:

Proportion = Orders for Breakfast Sandwich and Orange Juice / Total Orders Proportion = 13 / 79.

Next, we can predict the number of orders for breakfast sandwich and orange juice based on the 1,765 customers:

Expected Orders = Proportion * Total Customers Expected Orders = (13 / 79) * 1,765.

Calculating this gives:

Expected Orders ≈ (0.1646) * 1,765 ≈ 291 orders.

Therefore, Mitch would expect to sell approximately 291 orders of a breakfast sandwich and a cup of orange juice if he had 1,765 customers.

The correct response is:

291 orders.