To predict how many orders of a breakfast sandwich and orange juice Mitch would expect to sell if he had 1,765 customers, we need to calculate the proportion of breakfast sandwich and orange juice orders based on the data provided in the table.
From the table, the number of orders for each combination is as follows:
- 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
Now, we can find the proportion of orders for the breakfast sandwich and orange juice:
Proportion of Breakfast Sandwich and Orange Juice = (Orders of Breakfast Sandwich and Orange Juice) / (Total Orders)
Proportion = 13 / 79
Next, we can use this proportion to predict how many orders he would expect to sell out of 1,765 customers:
Expected orders = Proportion * Total customers
Expected orders = (13 / 79) * 1765
Calculating this gives us:
Expected orders ≈ (0.16456) * 1765 ≈ 290.49
Rounding this to the nearest whole number, we get approximately 291 orders.
So, Mitch would expect to sell approximately 291 orders of a breakfast sandwich and a cup of orange juice.