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

604 orders
604 orders

79 orders
79 orders

358 orders

Answer 1

To predict how many orders of a breakfast sandwich and a cup of orange juice Mitch would expect to sell with 1,765 customers, we first need to find the total number of orders of breakfast sandwich and orange juice from the table, then find the proportion of those orders relative to the total number of orders, and finally use that proportion to estimate the number of orders for 1,765 customers.

From the table:

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

First, calculate the total number of orders:

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

Next, find the proportion of orders that are Breakfast Sandwich and Orange Juice:

Proportion = (Orders of Breakfast Sandwich and Orange Juice) / (Total Orders) Proportion = 13 / 79

To find the expected number of orders of Breakfast Sandwich and Orange Juice from 1,765 customers:

Expected Orders = Proportion × Number of Customers Expected Orders = (13 / 79) × 1,765

Now, calculate this:

Expected Orders ≈ 0.1658 × 1,765 ≈ 293.24

Rounding this gives us approximately 291 orders.

Thus, the answer is:

291 orders