Lexi received a $45 gift card to download music on her mp3 player. each song costs $1.50. the amount left on the gift card is a function of the number of songs purchased. what is the domain and range?

The domain goes from 0 to 30

The range is from 0 to 45

Step-by-step explanation:

The amount left can be modeled by a first order function in the following format:

In which is her amount left, is her initial amount, n is the number of songs bought and p is the price of each song.

The problem states that Lexi received a $45 gift card. So her initial amount is 45. Each song costs $1.50, so . So, the function for the amount left on the gift card is:

The range are the values that Lexi can have left. So the range is from 0 to 45.

The domain is the number of musics she can buy. So, the smallest value in the domain is 0. The biggest is the value of n for which . So:

The domain goes from 0 to 30