High School

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Shanelle already has [tex] \$137 [/tex] from babysitting. She needs at least [tex] \$625 [/tex] for a new tablet. Which inequality best represents this scenario?

A. [tex] t - 137 \leq 625 [/tex]

B. [tex] t + 137 \geq 625 [/tex]

C. [tex] t + 137 \textless 625 [/tex]

D. [tex] t - 137 \textgreater 625 [/tex]

Answer :

Sure! Let's break down the problem step by step:

1. Understanding the Requirement:
Shanelle needs at least [tex]$625 for the new tablet, and she currently has $[/tex]137 from babysitting. Our goal is to find out how much more money, represented by [tex]\( t \)[/tex], Shanelle needs to save so that her total money reaches at least [tex]$625.

2. Setting Up the Equation:
To find out how much more she needs, we can use the following perspective:
- The total money she has after adding her savings should be at least $[/tex]625.

3. Formulating the Inequality:
Let's set up the inequality based on the requirement that her savings plus the existing [tex]$137 should be at least $[/tex]625.
- [tex]\( t + 137 \geq 625 \)[/tex]

4. Solving the Inequality:
We want to isolate [tex]\( t \)[/tex] to find out how much more she needs to save:
- Subtract [tex]$137 from both sides of the inequality:
\[
t + 137 - 137 \geq 625 - 137
\]
- Simplifying the right side, we get:
\[
t \geq 488
\]

5. Conclusion:
This tells us that Shanelle needs to save at least $[/tex]488 more to afford the new tablet.

Therefore, the inequality that best represents this scenario is [tex]\( t + 137 \geq 625 \)[/tex].

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