Question

The prices of different burgers are shown on this sign. Based on the information from the menu, is the price of a burger a function of the number of patties? Explain your reasoning. Burger menu. Cheeseburger, 3 dollars 49 cents. Just the Patties, 2 patties, no cheese, 4 dollars 9 cents. Double Cheeseburger, 4 dollars 59 cents. Island, 4 patties, 4 cheese, 6 dollars 79 cents.

Answer 1

No, the price of a burger is not solely a function of the number of patties; it also depends on additional factors like the presence of cheese.

Step-by-step explanation:

The menu presents different burger options with varying prices, indicating that the cost depends on factors beyond just the number of patties. For example, the Cheeseburger, priced at $3.49, has a different cost than the Just the Patties option, which consists of 2 patties but is priced at $4.09.

This discrepancy suggests that additional components, such as cheese, contribute to the overall price. Similarly, the Double Cheeseburger, with a price of $4.59, shows that the inclusion of extra cheese impacts the cost. The Island burger, priced at $6.79, features 4 patties and 4 cheese slices, reinforcing that the composition of the burger, including both patties and cheese, influences the price.

Therefore, the price of a burger is a multifaceted function, considering both the number of patties and other ingredients like cheese in determining its overall cost.

Answer 2

No, the price of a burger is not a function of the number of patties because there is an input that has two output.

In Mathematics and Geometry, a function defines and represents the unique relationship that exists between two or more variables in a relation, table, ordered pair, or graph.

Generally speaking, a function uniquely maps all of the input values (domain) to the output values (range).

By critically observing the burger menu, we can logically deduce that the price of a burger is not a function of the number of patties because there are two (2) possible prices for 2 patties, which implies two output values for the same input value;

2 patties, no cheese ↔ 4 dollars 9 cents.

2 patties, 2 cheese slices ↔ 4 dollars 9 cents.

Complete Question:

The prices of different burgers are shown on this sign. Based on the information from the menu, is the price of a burger a function of the number of patties? Explain your reasoning.