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

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?
Question 4: When this inequality is graphed will the line have an arrow pointing to the right or to the left?

Answer 1

Question 1: The inequality that models this story is: 5.75p ≥ 230.

Question 2: To solve the inequality, divide both sides by 5.75:

p ≥ 230 / 5.75

p ≥ 40

So, Merv must sell at least 40 pickles to meet her goal.

Question 3: When this inequality is graphed, the limit will be a closed circle because the inequality includes the equal sign (≥), indicating that the number of pickles sold can be equal to 40.

Question 4: When this inequality is graphed, the line will have an arrow pointing to the right, indicating that the values of p greater than or equal to 40 will satisfy the inequality.