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

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....

1 answer

Let's start by determining how much more money Kris needs to earn in total.

  1. Kris currently has $190.
  2. Her goal is to have at least $1,625 by the end of the summer.

To find out how much more money Kris needs to earn, we can subtract her current amount from her goal:

\[ 1,625 - 190 = 1,435 \]

So, Kris needs to earn a total of $1,435 over the 8 weekends.

Let \( x \) represent the amount of money Kris needs to earn each weekend. Since there are 8 weekends:

\[ 8x \geq 1,435 \]

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

\[ x \geq \frac{1,435}{8} \]

Calculating the right side:

\[ x \geq 179.375 \]

Since we typically round to two decimal places in financial contexts, this means:

\[ x \geq 179.38 \]

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

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.