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 situation, if x is the number of hours she works?
Responses
12x+56≥200

12x−56≤200

12x+56≤200

12x+56≤200

Answer 1

To find the inequality that represents Genevieve's situation, we start by determining how much money she needs to save. She currently has $56 and wants to have at least $200.

1. The total amount of money she wants is $200.
2. She currently has $56, so the amount she needs to earn is \( 200 - 56 \), which equals $144.
3. If she works \( x \) hours at a rate of $12 per hour, she will earn \( 12x \) dollars.

Now we can set up the inequality: \[ 12x + 56 \geq 200 \] This states that the money she earns from her work plus what she has saved should be greater than or equal to $200.

Thus, the correct inequality is: \[ \boxed{12x + 56 \geq 200} \]