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?
Will this inequality is graphed will the line have an arrow pointing to the right or to the left?
Answer 1: 5.75p ≥ 230
Answer 2: 5.75p ≥ 230
5.75p - 5.75 ≥ 230 - 5.75
5.75(p - 1) ≥ 224.25
p - 1 ≥ 39.25
p ≥ 40.25
Answer 3: When this inequality is graphed, the limit will be a closed circle and the line will have an arrow pointing to the right.
the solution is rubbish. Just divide to get
p ≥ 40
Answer 1: The inequality that models this story is: 5.75p ≥ 230.
Answer 2: To solve the inequality, divide both sides by 5.75 to isolate p: p ≥ 230 / 5.75.
Simplifying this, p ≥ 40.
Therefore, Merv must sell at least 40 pickles to meet her fundraising goal.
Answer 3: When this inequality is graphed, the limit will be a closed circle, representing p = 40. This is because Merv must sell exactly 40 pickles or more. The line will have an arrow pointing to the right, indicating that the values of p are greater than or equal to 40.
Question 1: To create an equation or inequality that models this story, we need to determine the total amount Merv wants to raise and also consider the price of each pickle. Let's represent the number of pickles as "p" and the price of each pickle as "$5.75".
Since Merv wants to raise at least $230, we can write the inequality as:
5.75p ≥ 230
Question 2: To solve the inequality, we need to isolate the variable "p". First, we divide both sides of the inequality by 5.75:
p ≥ 230 / 5.75
Simplifying the right side gives:
p ≥ 40
Therefore, Merv needs to sell at least 40 pickles to meet her goal of raising $230.
Question 3: When this inequality is graphed, the limit will be a closed circle. This is because the inequality includes "greater than or equal to" (≥) sign, indicating that the value can be equal to the boundary.
The line on the graph will have an arrow pointing to the right, indicating values greater than or equal to the boundary are acceptable.