The set of ordered pairs (b,M)
where b is the number of bags of
mandarins on a shelf, and M is the
number of mandarins. Each bag
holds 12 mandarins, and the shelf
can hold at most 20 bags.

Respuesta :

Domain and range are the possible values a function can take as input and output, respectively.

  • The domain of the relation is  [tex]0 \le b \le 20[/tex]
  • The range of the relation is [tex]0 \le M \le 108[/tex]

Given that:

[tex](b,M) \to[/tex] The ordered pair

Where:

[tex]b \to[/tex] Number of bags of mandarins

[tex]M \to[/tex] Number of mandarins

To determine the domain and range, we consider the following:

  • b: represents the domain
  • M: represents the range

The shelf can hold a maximum of 20 bags implies that the domain of the relation is from 0 to 20. i.e. [tex]0 \le b \le 20[/tex]

When there is no bag on the shelf, the number of mandarin is:

[tex]M = 12 \times 0 = 0[/tex]

When the shelf has the maximum (i.e. 20 bags), the number of mandarin is:

[tex]M = 12 \times 9 = 108[/tex]

This implies that the range of the relation is: [tex]0 \le M \le 108[/tex]

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