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The values of the domain and range of the scenario are :

  • Domain = (0, 6)
  • Range = (1, 10)

Cost per song = $1.50

Initial amount = Value of gift card = $10

The Amount left can be modeled thus :

[tex]A(n) = Ao - tn[/tex]

  • A(n) = Amount left after purchasing n songs
  • Ao = Initial amount = $10
  • t = price per song = $1.50
  • n = number of songs purchased

The domain is the number of songs she can purchase :

Minimum number of songs = 0 (If she decides not to purchase any song at all).

Maximum number of songs :

Value of n when A(n) = 0

0 = 10 - 1.50n

-10 = - 1.50n

n = 10 / 1.50

n = 6.667

n = 6

Therefore, the domain = (0, 6)

The minimum Range :

Amount left after buying 6 songs :

A(n) = 10 - 1.5(6)

A(n) = 10 - 9

A(n) = 1

Maximum range :

Amount left if 0 songs was purchased ;

Amount left = $10

Therefore, the range = (1, 10)

Learn more :https://brainly.com/question/13280700

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