;Answer:
The answer is below
Step-by-step explanation:
The PTA is trying to raise money for an end of the year carnival for a local
school. They are selling t-shirts, s, for fundraisers. Their revenue equation is
represented by the equation below. As a reminder, the revenue equation
describes how much money is brought in during the fundraiser: r(s) = - .1552 +30s
Their expenses equation is represented by: e(s) = 3s + 200.
A. Find the value of r(s) = e(s)
I
B. Explain what this means in the context of the problem.
Solution:
The revenue is the amount of money gotten by selling goods and products while expenses is the amount of money spent to produce the goods or products.
The revenue is given as:
r(s) = - 0.1552 +30s
While the expenses is given as:
e(s) = 3s + 200.
Since r(s) = e(s), therefore:
3s + 200 = -0.1552 + 30s
30s - 3s = 200 + 0.1552
27s = 200.1552
s = 7.4
s ≈ 7
At break even the expenses and revenue are equal to each other.
This means that if 7 t shirts are produced then the PTA would be at break even.
