We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, let's break down the situation step by step.
1. Understanding the Problem:
- Miguel has a [tex]$25 gift card.
- Each song costs $[/tex]1.50.
- There is a [tex]$1.00 activation fee for the account.
2. Define the Costs:
- If Miguel wants to buy `m` songs, the total cost will include the activation fee plus the cost of the songs.
- The total cost can be represented by the expression: \( 1 + 1.5m \).
3. Setting Up the Inequality:
- We need to ensure that this total cost does not exceed the gift card amount, which is $[/tex]25.
- This can be written as:
[tex]\[
1 + 1.5m \leq 25
\][/tex]
4. Analyzing the Inequality:
- This inequality ensures that the total spending (activation fee + the cost of the songs) stays within the limits of the gift card.
5. Alternative Representation:
- Another way to express this would be:
[tex]\[
1 + 1.5m < 25
\][/tex]
- This second inequality is slightly stricter, ensuring the total cost is less than $25, which still satisfies the condition.
In summary, two inequalities can represent this situation:
- [tex]\( 1 + 1.5m \leq 25 \)[/tex]
- [tex]\( 1 + 1.5m < 25 \)[/tex]
These inequalities account for both possibilities of spending all or slightly less than the total gift card value.
1. Understanding the Problem:
- Miguel has a [tex]$25 gift card.
- Each song costs $[/tex]1.50.
- There is a [tex]$1.00 activation fee for the account.
2. Define the Costs:
- If Miguel wants to buy `m` songs, the total cost will include the activation fee plus the cost of the songs.
- The total cost can be represented by the expression: \( 1 + 1.5m \).
3. Setting Up the Inequality:
- We need to ensure that this total cost does not exceed the gift card amount, which is $[/tex]25.
- This can be written as:
[tex]\[
1 + 1.5m \leq 25
\][/tex]
4. Analyzing the Inequality:
- This inequality ensures that the total spending (activation fee + the cost of the songs) stays within the limits of the gift card.
5. Alternative Representation:
- Another way to express this would be:
[tex]\[
1 + 1.5m < 25
\][/tex]
- This second inequality is slightly stricter, ensuring the total cost is less than $25, which still satisfies the condition.
In summary, two inequalities can represent this situation:
- [tex]\( 1 + 1.5m \leq 25 \)[/tex]
- [tex]\( 1 + 1.5m < 25 \)[/tex]
These inequalities account for both possibilities of spending all or slightly less than the total gift card value.
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