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

Which inequalities can represent this situation if [tex]m[/tex] is the number of songs he can buy? Select two options.

A. [tex]1 + 1.5m \leq 25[/tex]

B. [tex]1 + 15m \leq 25[/tex]

C. [tex]25 > 1 + 1.5m[/tex]

D. [tex]1 + 15m < 25[/tex]

E. [tex]25 \geq 1 + 1.5m[/tex]

To determine which inequalities can represent the situation, let's break down the problem:

Miguel wants to buy songs with his [tex]$25 gift card. Each song costs $[/tex]1.50, and there's a [tex]$1.00 activation fee that he must pay regardless of how many songs he buys.

Let's represent:
- $ m $ as the number of songs Miguel can buy.
- Total cost as the sum of the activation fee and the cost of the songs (\$[/tex]1.50 per song).

### Step-by-step analysis:

1. Calculate the total cost:
The total cost for buying [tex]$ m $[/tex] songs includes the activation fee and the cost of the songs:
[tex]\[
\text{Total cost} = 1 + 1.5m
\][/tex]

2. Set up the inequality for the gift card limit:
Miguel can spend at most \[tex]$25, which means the total cost must be less than or equal to \$[/tex]25:
[tex]\[
1 + 1.5m \leq 25
\][/tex]

3. Rephrase the inequality:
Alternatively, you can also think of it as checking if $25 is greater than the total cost:
[tex]\[
25 > 1 + 1.5m
\][/tex]

Based on this analysis, the inequalities that correctly represent the situation are:
1. [tex]$ 1 + 1.5m \leq 25 $[/tex]
2. [tex]$ 25 > 1 + 1.5m $[/tex]

These two inequalities correctly illustrate the conditions under which Miguel can use his gift card to buy the songs.