Q:

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? Check all that apply.

Accepted Solution

A:
Answer:[tex]1.00+1.50m \leq 25[/tex] or [tex]m \leq 16[/tex]Step-by-step explanation:Activation Fee = $1.00Cost of each song = $1.50Since we are given that he can buy m songs .So, Cost of m songs = $1.50 mSo, total cost = Activation charge + Cost of m songs = $1.00+$1.50 mSince we are also given that Miguel can use all or part of his $25 gift card to make a music purchase.So, the inequality becomes :[tex]1.00+1.50m \leq 25[/tex]or[tex].50m \leq 25-1[/tex][tex]1.50m \leq 24[/tex][tex]m \leq \frac{24}[1.5}[/tex][tex]m \leq 16[/tex]Hence the inequality that can represent the situation is [tex]1.00+1.50m \leq 25[/tex] or [tex]m \leq 16[/tex]