Genevieve has saved $56 and works at a part-time job for $12 per hour. She wants to have at least $200 by the end of the week.

Question

Which inequality represents the number of hours she needs to work, x?
Responses
x≥21

x≤12

x≤21

x≤12

Answer 1

To determine how many hours Genevieve needs to work, we can set up an inequality based on the information given.

1. Genevieve currently has $56.
2. She earns $12 per hour.
3. She wants to have at least $200.

Let's denote the number of hours she needs to work as \( x \).

The total amount of money Genevieve will have after working \( x \) hours can be expressed as:

\[ \text{Total Money} = 56 + 12x \]

She wants this total to be at least $200:

\[ 56 + 12x \geq 200 \]

Now, we'll solve for \( x \):

1. Subtract 56 from both sides:

\[ 12x \geq 200 - 56 \] \[ 12x \geq 144 \]

2. Divide both sides by 12:

\[ x \geq \frac{144}{12} \] \[ x \geq 12 \]

Thus, the inequality that represents the number of hours Genevieve needs to work is:

\[ x \geq 12 \]

Your options seem incorrect since "x ≥ 12" isn't listed. However, if you're looking for a different interpretation or need clarification, please let me know!