Question

solutions to real - world inequality problems quick check
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)
kris needs to earn $13.13 each hour 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.
kris needs to earn $105 more to meet her goal.

Explanation:

Step1: Define variable for weekend earnings

Let $x$ = amount earned per weekend.

Step2: Set up inequality for total savings

Total savings = current amount + 8×weekly earnings, which must be at least $1625:
$$190 + 8x \geq 1625$$

Step3: Isolate the term with $x$

Subtract 190 from both sides:
$$8x \geq 1625 - 190$$
$$8x \geq 1435$$

Step4: Solve for $x$

Divide both sides by 8:
$$x \geq \frac{1435}{8}$$
$$x \geq 179.375 \approx 179.38$$

Answer:

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