A school class is selling cookies for a fundraiser. The class has made 120 cookies to sell, and the supplies to make the cookies cost $22. The class wants to make at least $50 from selling cookies.

Question

Which inequality should be used to determine the possible prices (p) the class can sell the cookies for to reach its goal?

(1 point)
Responses

120p−22≥50

120p−22>50

120p−22<50

120p−22≤50

Question 2
(1 point)
The class should sell each cookie for
$0.60.

Answer 1

To determine the possible prices (p) the class can sell the cookies for to reach its goal of making at least $50 after covering the cost of supplies, we need to set up an inequality.

The total income from selling the cookies is \(120p\) (the number of cookies times the price per cookie). The total cost of supplies is $22, so the net income after paying for supplies is \(120p - 22\). The class wants to make at least $50, which gives us the inequality:

\[ 120p - 22 \geq 50 \]

Thus, the correct inequality to use is:

120p − 22 ≥ 50

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For Question 2, if the class sells each cookie for $0.60, we can find the total income as follows:

1. Total income from selling cookies: \[ 120 \times 0.60 = 72 \]

2. Subtract the cost of supplies to find the net income: \[ 72 - 22 = 50 \]

So selling each cookie for $0.60 will indeed allow them to meet their goal of making at least $50.