Ava is trying to save at least $200 from her summer job to buy new clothes for the coming school year. She has $75 saved. Which inequality below can be used to find x, the amount of money she still needs to save in order to reach her goal of at least $200?

Question

1. x + 75 ≥ 200
2. 75 + x ≤ 200
3. x + 75 < 200
4. 75 + 200 ≥ x

Answer 1

To determine how much more money Ava needs to save to reach her goal of at least $200, we can set up an inequality.

Ava currently has $75 saved, and she wants her total savings to be at least $200. If we let \( x \) represent the additional amount of money she still needs to save, then we can express her total savings as \( 75 + x \).

To find the necessary savings to meet her goal, we set up the inequality:

\[ 75 + x \geq 200 \]

Now, looking at the options provided:

1. \( x + 75 \geq 200 \) (This is equivalent to \( 75 + x \geq 200 \))
2. \( 75 + x \leq 200 \) (This is incorrect because we want the total to be at least 200)
3. \( x + 75 < 200 \) (This is incorrect since she aims for at least 200)
4. \( 75 + 200 \geq x \) (This is incorrect as it doesn't represent her savings goal)

The correct answer is:

1. \( x + 75 \geq 200 \)