Answer:
<em>The minimum number of glasses of lemonade is 70</em>
Step-by-step explanation:
<u>Equations</u>
With the data provided, we can build a model for the profit that Michael gets for selling lemonade.
First, we set up the cost function. He purchased $12 in lemons and $4 in glasses. It makes a fixed cost of $16. He also spends $0.02 per glass of lemonade fot the sugar. Being x the number of glasses of lemonade Michael sells, the total cost is modeled by
C(x)=16+0.02x
The revenue for selling x glasses of lemonade is
R(x)=0.25x
The profit is
P(x)=R(x)-C(x)=0.25x-(16+0.02x)
P(x)=0.23x-16
To make profits:
0.23x-16>0
Solving for x
x>16/0.23
x>69.6
Since x must be an integer
The minimum number of glasses of lemonade is 70
The answer is C. Write 3x as a difference, and Use the commutative property to reorder the terms.
Fundamental principle of counting
<span>C: 3x + 2y = 6
7x =12
Tell me if this helps, Have a great day!</span>
