College

You need at least [tex]\$60[/tex] to buy a new video game. You have saved [tex]\$25[/tex]. Which inequality models how much more you must save?

A. [tex]n + 25 \leq 60[/tex]
B. [tex]n - 25 \geq 60[/tex]
C. [tex]n + 25 \geq 60[/tex]
D. [tex]60 + 25 \ \textless \ n[/tex]

Answer :

To determine how much more money you need to save for the video game, let's break down the situation:

1. Total Amount Needed: You need a total of [tex]$60 to buy the game.

2. Amount Already Saved: You have saved $[/tex]25 so far.

3. Finding the Additional Amount Needed:

- We can use the inequality [tex]\( n + 25 \geq 60 \)[/tex]. Here, [tex]\( n \)[/tex] represents the additional amount you need to save.

- To find [tex]\( n \)[/tex], we solve for it by subtracting 25 from both sides of the inequality:
[tex]\[
n + 25 \geq 60
\][/tex]
[tex]\[
n \geq 60 - 25
\][/tex]
[tex]\[
n \geq 35
\][/tex]

So, the correct inequality is [tex]\( n + 25 \geq 60 \)[/tex], and you need to save at least $35 more to have enough to buy the video game.

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