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 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 $105 more to meet her goal.
Kris needs to earn $105 more 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 $179.38 more to meet her goal.

1 answer

To find out how much Kris needs to earn each weekend, we can set up the inequality based on the information provided.

Kris currently has $190 and wants at least $1,625 by the end of the summer. She plans to earn money over 8 weekends.

Let \( x \) represent the amount of money Kris needs to earn each weekend. The total amount of money she will have by the end of the summer will be represented by the expression:

\[ 190 + 8x \geq 1625 \]

Now, we can solve this inequality:

  1. Subtract 190 from both sides: \[ 8x \geq 1625 - 190 \] \[ 8x \geq 1435 \]

  2. Divide both sides by 8: \[ x \geq \frac{1435}{8} \] \[ x \geq 179.375 \]

Since we generally round such monetary values to two decimal places, we can write: \[ x \geq 179.38 \]

This means Kris needs to earn at least $179.38 each weekend.

Based on the responses given, the correct interpretation of the solution in the context of the problem is:

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