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 :
Sure! Let's analyze the problem step by step to understand which inequalities are correct for determining how many songs Miguel can buy.
1. Identify the total amount Miguel can spend.
Miguel has a [tex]$25 gift card.
2. Understand the costs involved.
- Each song costs \$[/tex]1.50.
- There is an account activation fee of \[tex]$1.00.
3. Set up an inequality for the total cost.
If \( m \) is the number of songs Miguel buys, the total cost will be:
\[
\text{Total Cost} = 1.00 + 1.50m
\]
4. Determine the condition for the total cost.
The total cost \( 1.00 + 1.50m \) should be less than or equal to the \$[/tex]25 gift card amount.
So, the inequality is:
[tex]\[
1.00 + 1.50m \leq 25
\][/tex]
Additionally, since the total cost cannot exceed the gift card amount, it should also be strictly less than 25:
[tex]\[
1.00 + 1.50m < 25
\][/tex]
5. Compare with given options:
- [tex]\( 1 + 1.5m \leq 25 \)[/tex]
- [tex]\( 1 + 1.5m \geq 25 \)[/tex]
- [tex]\( 25 > 1 + 1.5m \)[/tex]
- [tex]\( 1 + 1.5m < 25 \)[/tex]
- [tex]\( 25 \geq 1 + 1.5m \)[/tex]
Correct Inequalities:
- [tex]\( 1 + 1.5m \leq 25 \)[/tex]
- [tex]\( 1 + 1.5m < 25 \)[/tex]
These two inequalities correctly represent the situation where the total cost must be within the limit of the [tex]$\$[/tex] 25$ gift card. Therefore, they are the correct choices.
Final Answer:
- [tex]\( 1 + 1.5m \leq 25 \)[/tex]
- [tex]\( 1 + 1.5m < 25 \)[/tex]
1. Identify the total amount Miguel can spend.
Miguel has a [tex]$25 gift card.
2. Understand the costs involved.
- Each song costs \$[/tex]1.50.
- There is an account activation fee of \[tex]$1.00.
3. Set up an inequality for the total cost.
If \( m \) is the number of songs Miguel buys, the total cost will be:
\[
\text{Total Cost} = 1.00 + 1.50m
\]
4. Determine the condition for the total cost.
The total cost \( 1.00 + 1.50m \) should be less than or equal to the \$[/tex]25 gift card amount.
So, the inequality is:
[tex]\[
1.00 + 1.50m \leq 25
\][/tex]
Additionally, since the total cost cannot exceed the gift card amount, it should also be strictly less than 25:
[tex]\[
1.00 + 1.50m < 25
\][/tex]
5. Compare with given options:
- [tex]\( 1 + 1.5m \leq 25 \)[/tex]
- [tex]\( 1 + 1.5m \geq 25 \)[/tex]
- [tex]\( 25 > 1 + 1.5m \)[/tex]
- [tex]\( 1 + 1.5m < 25 \)[/tex]
- [tex]\( 25 \geq 1 + 1.5m \)[/tex]
Correct Inequalities:
- [tex]\( 1 + 1.5m \leq 25 \)[/tex]
- [tex]\( 1 + 1.5m < 25 \)[/tex]
These two inequalities correctly represent the situation where the total cost must be within the limit of the [tex]$\$[/tex] 25$ gift card. Therefore, they are the correct choices.
Final Answer:
- [tex]\( 1 + 1.5m \leq 25 \)[/tex]
- [tex]\( 1 + 1.5m < 25 \)[/tex]
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