Unit 4 Test Part 2: Merv is selling yodeling pickles as a fundraiser. If her goal is to raise at least $230, how many pickles must she sell at $5.75 each to meet that goal? Write and solve an inequality with p as the number of pickles she must sell.

Question 1: What is the inequality that models this story
Question 2: Solve the inequality, showing all steps.
Question 3: When this inequality is graphed will the limit be an open or closed circle?
When this inequality is graphed will the line have an arrow pointing to the right or to the left?

Question 1:

The inequality that models this story is: 5.75p ≥ 230.

Question 2:
To solve the inequality, we need to divide both sides by 5.75 to isolate p.
5.75p ≥ 230
p ≥ 230 / 5.75
p ≥ 40

Therefore, Merv must sell at least 40 pickles to meet her fundraising goal of $230.

Question 3:
When this inequality is graphed, the limit will be a closed circle because the inequality includes the sign of greater than or equal to (≥).
The line will have an arrow pointing to the right because the inequality is ≥ (greater than or equal to), indicating that the number of pickles sold must be equal to or greater than the value obtained, which is 40.