High School

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 \leq 625[/tex]

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

D. [tex]t + 127 \textless 625[/tex]

Answer :

To solve this problem, we need to determine which inequality accurately describes Shanelle's savings situation for purchasing a new tablet.

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

2. Identify the Condition:
- The problem specifies that Shanelle needs at least [tex]$625. This means her total savings should be $[/tex]625 or more.

3. Create the Inequality:
- Let [tex]\( t \)[/tex] represent the additional amount of money Shanelle needs to save.
- We need her total savings, which is her current savings plus what she still has to save, to be at least [tex]$625.

4. Formulate the Inequality:
- The inequality reflecting this condition would be:
\[
t + 137 \geq 625
\]

Therefore, the correct inequality that represents the scenario where Shanelle needs enough money to buy the tablet is \( t + 137 \geq 625 \), which shows that her savings plus the additional amount \( t \) should be at least $[/tex]625.