Table is attached below
From the table we can see that the Lemon cost is equal to 35% of the expenses
Let the expense be x, Lemons cost is 70
Lemon cost = 35% * x
70 = 35% * x ( 35% =
= 0.35)
70 = 0.35 * x
x = 
x= 200, Expense = $200
Given : Profit percentage is 15%=
= 0.15
Profit = profit percentage * Expense
Profit = 0.15 * 200 = 30
So profit = $30
We have to identify the function which has the same set of potential rational roots as the function
.
Firstly, we will find the rational roots of the given function.
Let 'p' be the factors of 12
So, p= 
Let 'q' be the factors of 3
So, q=
So, the rational roots are given by
which are as:
.
Consider the first function given in part A.
f(x) =
Here also, Let 'p' be the factors of 12
So, p= 
Let 'q' be the factors of 3
So, q=
So, the rational roots are given by
which are as:
.
Therefore, this equation has same rational roots of the given function.
Option A is the correct answer.
Answer:
Question 13: For age groups y=1 and y=1.3 response is 8 microseconds.
Question 14: The club was making a loss between 11.28 and 4.88 years.
Step-by-step explanation:
Question 13:
The age group y for which the response rate R is 8 microseconds is given by the solution of the equation

We graph this equation and find the solutions to be

Since only positive solutions for y are valid in the real world we take only those.
Thus only for age groups y=1 and y=1.3 the response is 8 microseconds.
Question 14:
The footbal club is making a loss when 
Or

We graph this inequality and find the solutions to be
and 
Since in the real world only positive values for t are valid, we take the the second solution to be true.
Thus the club was making a loss in years 
A. You may set the variables in either order. But for argument sake, let's set as follows:
x = Amount of bookshelves
y = Amount of tables
B. Because of the amount of things you need to make, the following is an inequality using those variables.
x + y > 25
Plus you can determine a second inequality based on the amount of money that you have to spend.
20x + 45y < 675
Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.
C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.
(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.