Answer :
Sure! Let's solve this step-by-step to find the inequality that models how much more you must save to buy the video game.
### Problem Analysis
- You need at least \[tex]$60 to buy a new video game.
- You have saved \$[/tex]25.
### Steps to Solution
1. Determine how much more you need to save:
- You have saved \[tex]$25, and you need a total of \$[/tex]60.
- So, the additional amount you must save is calculated by subtracting the saved amount from the total required amount:
[tex]\[
\text{Additional savings needed} = 60 - 25 = 35
\][/tex]
2. Formulating the Inequality:
- Let [tex]\( n \)[/tex] represent the additional amount you still need to save.
- Since you need at least \[tex]$60, the sum of your saved amount (\$[/tex]25) and the additional amount (\[tex]$n) must be at least \$[/tex]60.
- This can be written as:
[tex]\[
n + 25 \geq 60
\][/tex]
### Final Answer
The inequality that models how much more you must save is:
[tex]\[
n + 25 \geq 60
\][/tex]
Therefore, the correct inequality is [tex]\( n + 25 \geq 60 \)[/tex].
### Problem Analysis
- You need at least \[tex]$60 to buy a new video game.
- You have saved \$[/tex]25.
### Steps to Solution
1. Determine how much more you need to save:
- You have saved \[tex]$25, and you need a total of \$[/tex]60.
- So, the additional amount you must save is calculated by subtracting the saved amount from the total required amount:
[tex]\[
\text{Additional savings needed} = 60 - 25 = 35
\][/tex]
2. Formulating the Inequality:
- Let [tex]\( n \)[/tex] represent the additional amount you still need to save.
- Since you need at least \[tex]$60, the sum of your saved amount (\$[/tex]25) and the additional amount (\[tex]$n) must be at least \$[/tex]60.
- This can be written as:
[tex]\[
n + 25 \geq 60
\][/tex]
### Final Answer
The inequality that models how much more you must save is:
[tex]\[
n + 25 \geq 60
\][/tex]
Therefore, the correct inequality is [tex]\( n + 25 \geq 60 \)[/tex].
