Question

A bakery sells different packages of muffins. The number of muffins, x, and the price in dollars, y, of their packages of muffins are given in the ordered pairs below. The set of ordered pairs is a relation that is also a function.
{(1,2),(2,3),(4,5),(6,7),(12,13)}
The bakery is considering adding a new package of muffins. which ordered pairs would make the relation NOT a function? Choose all that are correct.
a. (10,13)
b. (6,8)
c. (8,12)
d. (4,3)
e. (24,18)

Answer 1

Answer:

A,D,B

Step-by-step explanation:

Those have the same as the ordered pairs in the question. Having 2 ordered pairs with the same variables would make them not a function.

Answer 2

A relation may or may not be a function.

b. (6,8)  and d. (4,3) would make the relation not a function

The ordered pair is given as:

$\mathbf{(x,y) = \{(1,2),(2,3),(4,5),(6,7),(12,13)\}}$

For a relation to be a function, all the x-values must be unique (i.e. no repetition)

From the list of given options, the x values of options (b) and (d) already exist in the ordered pair i.e. (6,7) and (4,5)

This means that: (b) and (d) would make the relation not a function

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