To determine how much money Kris needs to earn each weekend, we first need to set up an inequality based on the information provided.
Kris currently has $19 and wants to have at least $1,625 by the end of the summer. The summer consists of 8 weekends, and we denote the amount Kris needs to earn each weekend as \( x \).
The total amount Kris will have at the end of the summer can be expressed as: \[ \text{Total Amount} = 19 + 8x \]
We need this total amount to be at least $1,625, so we set up the inequality: \[ 19 + 8x \geq 1625 \]
Next, we will solve for \( x \).
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Subtract 19 from both sides: \[ 8x \geq 1625 - 19 \] \[ 8x \geq 1606 \]
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Now, divide both sides by 8: \[ x \geq \frac{1606}{8} \] \[ x \geq 200.75 \]
This means Kris needs to earn at least $200.75 each weekend to meet her goal of at least $1,625 by the end of summer.
Now let's interpret this in the context of the problem.
Given the answer choices:
- Kris needs to earn $13.13 each hour to meet her goal
- Kris needs to earn $106 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
The correct interpretation based on the solution we derived is not listed exactly in your choices, but we can see that she needs to earn "at least $200.75 each weekend" to meet her goal. Since $200.75 is greater than $179.38, which is an amount among the options, the choice that is closest but incorrect is:
"Kris needs to earn at least $179.38 each weekend to meet her goal."
This answer seems to reflect the idea that she has to earn above a nominal threshold, but it's important to note that the actual amount is $200.75.
Thus, the best answer choice based on the existing options is "Kris needs to earn at least $179.38 each weekend to meet her goal" (recognizing that it should actually be $200.75).
1 answer