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)

Question

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

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

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

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

Answer 1

To determine how much Kris needs to earn each weekend, we first set up an inequality based on the information provided:

1. Kris has $190 now.
2. She wants at least $1,625 by the end of the summer.
3. There are 8 weekends in the summer.
4. Let \( x \) be the amount of money Kris needs to earn each weekend.

The total amount of money Kris will have after 8 weekends is: \[ 190 + 8x \]

We need this total to be at least $1,625, so we set up the inequality: \[ 190 + 8x \geq 1625 \]

Now, we solve the inequality:

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

2. Calculate the right side: \[ 8x \geq 1435 \]

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

4. Calculate \( \frac{1435}{8} \): \[ x \geq 179.375 \]

Thus, Kristin needs to earn at least $179.38 each weekend.

Interpreting the solution in the context of the problem, the correct answer choice is:

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