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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 \geq 625[/tex]
B. [tex]t + 137 \lt 625[/tex]
C. [tex]t - 137 \gt 625[/tex]
D. [tex]t - 137 \leq 625[/tex]

Answer :

To solve this problem, we need to determine which inequality best represents the amount of money Shanelle still needs to buy a new tablet.

1. Understand the given information:
- Shanelle already has [tex]$137 from babysitting.
- She needs at least $[/tex]625 to buy a new tablet.

2. Set up the inequality:
- Let's use [tex]\( t \)[/tex] to represent the additional amount of money Shanelle still needs to earn.
- We want to find out how much more money she needs to have a total of at least [tex]$625.

3. Formulate the inequality:
- Since Shanelle already has $[/tex]137, she needs [tex]\( t \)[/tex] more to reach at least [tex]$625.
- The total amount with the additional \( t \) should be $[/tex]625 or more:
[tex]\[
t + 137 \geq 625
\][/tex]

4. Solution:
- This inequality [tex]\( t + 137 \geq 625 \)[/tex] correctly represents the scenario because the left side (money she has plus the money she still needs) should be at least equal to the right side (the cost of the tablet).

Therefore, the inequality that best represents the situation is [tex]\( t + 137 \geq 625 \)[/tex]. This tells us that when we add the money she needs to what she already has, it should be at least $625.

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