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Answer :
To solve this problem, we need to understand the costs involved in Miguel's music purchase and represent these using inequalities.
1. Identify the components:
- Miguel has a gift card worth [tex]$25.
- Each song costs $[/tex]1.50.
- There is a fixed account activation fee of [tex]$1.00.
2. Write an inequality:
- The total cost for buying `m` songs is the sum of the account activation fee plus the cost of the songs.
- Therefore, the total cost is: \( \text{Total Cost} = 1 + 1.5m \).
- This total cost has to be less than or equal to the $[/tex]25 gift card, which can be written as:
[tex]\[
1 + 1.5m \leq 25
\][/tex]
3. Rearrange the inequality if needed:
- You may also write this inequality in another form:
[tex]\[
25 \geq 1 + 1.5m
\][/tex]
Both these inequalities represent the same situation and show the maximum number of songs Miguel can purchase, considering he cannot exceed the $25 balance on his gift card after paying an account activation fee.
4. Selecting the options that match our inequalities:
- From the choices given, the correct expressions are:
- [tex]\( 1 + 1.5m \leq 25 \)[/tex]
- [tex]\( 25 \geq 1 + 1.5m \)[/tex]
These two options correctly represent the constraints on the number of songs Miguel can buy.
1. Identify the components:
- Miguel has a gift card worth [tex]$25.
- Each song costs $[/tex]1.50.
- There is a fixed account activation fee of [tex]$1.00.
2. Write an inequality:
- The total cost for buying `m` songs is the sum of the account activation fee plus the cost of the songs.
- Therefore, the total cost is: \( \text{Total Cost} = 1 + 1.5m \).
- This total cost has to be less than or equal to the $[/tex]25 gift card, which can be written as:
[tex]\[
1 + 1.5m \leq 25
\][/tex]
3. Rearrange the inequality if needed:
- You may also write this inequality in another form:
[tex]\[
25 \geq 1 + 1.5m
\][/tex]
Both these inequalities represent the same situation and show the maximum number of songs Miguel can purchase, considering he cannot exceed the $25 balance on his gift card after paying an account activation fee.
4. Selecting the options that match our inequalities:
- From the choices given, the correct expressions are:
- [tex]\( 1 + 1.5m \leq 25 \)[/tex]
- [tex]\( 25 \geq 1 + 1.5m \)[/tex]
These two options correctly represent the constraints on the number of songs Miguel can buy.
Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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