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

To figure out how much money Kris needs to earn each weekend, we first set up the inequality based on the information given:

  1. Initial Total Amount: Kris has $190.
  2. Goal Amount: Kris wants at least $1,625 by the end of the summer.
  3. Number of Weekends: There are 8 weekends.

Let \( x \) be the amount Kris needs to earn each weekend. The total amount she will have after 8 weekends can be expressed as:

\[ 190 + 8x \geq 1625 \]

Now, we solve for \( x \):

  1. Subtract 190 from both sides:

\[ 8x \geq 1625 - 190 \]

\[ 8x \geq 1435 \]

  1. Divide both sides by 8:

\[ x \geq \frac{1435}{8} \]

Calculating \( \frac{1435}{8} \):

\[ \frac{1435}{8} = 179.375 \]

So, \( x \geq 179.375 \).

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

\[ x \geq 179.38 \]

Interpretation of the Solution: From the calculations, this means Kris needs to earn at least $179.38 each weekend to meet her goal of having at least $1,625 by the end of the summer.

Therefore, the best choice that interprets the solution in the context of the problem is:

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