It's make-your-own-dish night at your favorite pasta restaurant. The restaurant offers
types of pasta and
different sauces. You get to choose one of each.
Diagram A
Tomato sauce Cheese sauce Fettuccine Olive Oil
Spaghetti Tomato, Spaghetti Cheese, Spaghetti Fettuccine, Spaghetti Olive Oil, Spaghetti
Bow ties Tomato, Bow ties Cheese, Bow ties Fettuccine, Bow ties Olive Oil, Bow ties
Meat sauce Tomato, Meat Cheese, Meat Meat, Fettuccine Olive Oil, Meat
Ravioli Tomato, Ravioli Cheese, Ravioli Fettuccine, Ravioli Olive Oil, Ravioli
Macaroni Tomato, Macaroni Cheese, Macaroni Fettuccine, Macaroni Olive Oil, Macaroni
Diagram B
Tomato sauce Cheese sauce Meat sauce Olive oil
Spaghetti Tomato, Spaghetti Cheese, Spaghetti Meat, Spaghetti Olive oil, Spaghetti
Bow ties Tomato, Bow ties Cheese, Bow ties Meat, Bow ties Olive oil, Bow ties
Fettuccine Tomato, Fettuccine Cheese, Fettuccine Meat, Fettuccine Olive oil, Fettuccine
Ravioli Tomato, Ravioli Cheese, Ravioli Meat, Ravioli Olive oil, Ravioli
Macaroni Tomato, Macaroni Cheese, Macaroni Meat, Macaroni Olive oil, Macaroni
If you randomly choose the pasta and the sauce, which of these diagrams can be used to find all of the possible outcomes?
Choose all answers that apply:
Choose all answers that apply:
(Choice A) Diagram A
A
Diagram A
(Choice B) Diagram B
B
Diagram B
21 of 30
1 answer
To determine which diagram can be used to find all possible outcomes when choosing one type of pasta and one sauce, let's analyze both diagrams.
In Diagram A, all combinations are shown, but there is an inconsistency in the types of sauces listed. The sauces include Tomato, Cheese, Fettuccine, and Olive Oil, but "Meat sauce" appears alongside Fettuccine and Olive Oil, which creates confusion because it indicates some pastas get paired with only certain sauces.
In Diagram B, all combinations are consistently displayed. It includes all types of pasta (Spaghetti, Bow ties, Fettuccine, Ravioli, Macaroni) and four types of sauces (Tomato sauce, Cheese sauce, Meat sauce, Olive Oil) without omissions or inconsistencies. Therefore, it correctly represents the total combinations of pastas and sauces.
Based on this analysis:
Choice A (Diagram A) is not reliable because it does not consistently display all possible combinations.
Choice B (Diagram B) is reliable and accurately shows all possible combinations of pastas and sauces.
