High School

Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.

Which inequalities can represent this situation if \( m \) is the number of songs he can buy? Select two options.

1. \( 1.5m \leq 25 \)
2. \( 1.5m > 25 \)
3. \( 25 > 1.5m \)
4. \( 1.5m < 25 \)
5. \( 25 \geq 1.5m \)

Answer :

The correct options are: 1.5m ≤ 25, 25 ≥ 1.5m. The amount of money Miguel has on his gift card ($25) should be greater than or equal to the total cost of the songs (1.5m).

The inequalities that can represent this situation, with "m" representing the number of songs Miguel can buy, are:

1.5m ≤ 25

This inequality represents the condition that the total cost of the songs (1.5m) should be less than or equal to the amount of money Miguel has on his gift card ($25).

25 ≥ 1.5m

This inequality represents the condition that the amount of money Miguel has on his gift card ($25) should be greater than or equal to the total cost of the songs (1.5m).

So, the correct options are:

1.5m ≤ 25

25 ≥ 1.5m

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