Kris currently has $190 and plans to earn more money each of the 8 weekends this summer. She wants at least $1,625 by the end of the summer. Write and solve an inequality for the amount of money Kris needs to earn each weekend. Which answer choice best interprets the solution in the context of the problem?(1 point)

Responses

Kris needs $179.38 more to meet her goal.
Kris needs $179.38 more to meet her goal.

Kris needs to earn at least $179.38 each weekend to meet her goal.
Kris needs to earn at least $179.38 each weekend to meet her goal.

Kris needs to earn $13.13 each hour to meet her goal.
Kris needs to earn $13.13 each hour to meet her goal.

Kris needs to earn $105 more to meet her goal.
Kris needs to earn $105 more to meet her goal.

1 answer

To find out how much money Kris needs to earn each weekend, we can set up an inequality based on her current amount and her goal.

Kris currently has $190 and wants at least $1,625 by the end of the summer. She plans to earn money over the course of 8 weekends. Let's denote the amount Kris needs to earn each weekend as \( x \).

The total amount of money Kris will have at the end of the summer can be represented as: \[ 190 + 8x \]

To meet her goal of at least $1,625, we can write the inequality: \[ 190 + 8x \geq 1,625 \]

Now, we can solve for \( x \):

  1. Subtract 190 from both sides: \[ 8x \geq 1,625 - 190 \] \[ 8x \geq 1,435 \]

  2. Divide both sides by 8: \[ x \geq \frac{1,435}{8} \] \[ x \geq 179.375 \]

Therefore, Kris needs to earn at least $179.38 (when rounded to two decimal places) each weekend to meet her goal.

The correct interpretation in the context of the problem is: Kris needs to earn at least $179.38 each weekend to meet her goal.