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 $13.13 each hour to meet her goal.
Kris needs to earn $13.13 each hour 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 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 $179.38 more to meet her goal.
The correct answer choice is: Kris needs to earn at least $179.38 each weekend to meet her goal.
show your steps in solving
Let's start by letting x represent the amount of money Kris needs to earn each weekend.
We know that Kris wants to earn money for 8 weekends. So, the total amount of money she needs to earn by the end of the summer is 8x.
We also know that Kris currently has $190. Therefore, we can set up the following inequality:
8x + $190 ≥ $1,625
To solve for x, we need to isolate it on one side of the inequality. We can do this by subtracting $190 from both sides:
8x + $190 - $190 ≥ $1,625 - $190
Simplifying the equation, we get:
8x ≥ $1,435
Finally, to find the value of x, we divide both sides of the inequality by 8:
8x/8 ≥ $1,435/8
x ≥ $179.38
So, Kris needs to earn at least $179.38 each weekend to meet her goal.
Therefore, the answer choice that best interprets the solution in the context of the problem is: Kris needs to earn at least $179.38 each weekend to meet her goal.