Question

Question 1 of 3

Sina spent $14.25 on supplies to make lemonade At least how many glasses of lemonade must she sell at
$0.70 per glass to make a profit?
O At most 20.36 glasses
O At least 21 glasses
O At most 9.98 glasses
O At least 10 glasses

Answer 1

Let's calculate the minimum number of glasses Sina must sell to make a profit:
Let's assume that Sina sells × glasses of lemonade. Then her revenue from selling the glasses of lemonade at $0.70 per glass would be 0.70x.
Her cost to make x glasses of lemonade is $14.25.
In order to make a profit, her revenue from selling the glasses of lemonade must be greater than her cost to make the glasses of lemonade. So we can set up the following inequality:
0.70× > 14.25
Solving for x:
× > 14.25/0.70
× > 20.35
So Sina would need to sell at least 21 glasses of lemonade to make a profit.
The correct answer is "At least 21 glasses"

Answer 2

Sina needs to sell enough glasses of lemonade to cover the cost of her supplies and make a profit.

If she spent $14.25 on supplies, her break-even point is:

Break-even point = Total cost / Price per glass
Break-even point = $14.25 / $0.70 per glass
Break-even point = 20.357 glasses

So, Sina needs to sell at least 21 glasses of lemonade to make a profit. Answer: At least 21 glasses.