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Question 2
1. Which point represents a solution to the system of inequalities shown below?
(4, 1)
(2, -2)
(-1, 3)
(1, -4)
Question 3
1. Given the following graph of a system of inequalities, the point (0, 0) _____________.
satisfies all inequalities and is part of the solution set
satisfies only one of the inequalities and, thus, is part of the solution set
satisfies only some of the inequalities and, thus, is not part of the solution set
does not satisfy any inequality and, thus, is not in the solution set
Question 4
1. The shape of the solution region for the system
following? Select all that apply.
can be described as which of the
triangle
rectangle
square
trapezoid
Question 5
1. What are the coordinates of the vertices of the solution region for the system
?
(0, 0), (0, 3), (3, 0)
(0, 0), (3, 3), (3, 0)
(0, 0), (3, 3), (3, 6)
(0, 0), (3, 6), (6, 3)
Question 6
1. A catering company is offered $650 to buy poultry for a party. The company can either buy
turkey, which costs $1.40 a pound, or chicken, which costs $1.85 per pound. The client needs at
least 400 pounds of meat. Which of the following systems correctly describe the possible
amounts of chicken (c) and turkey (t) for this catering job?
Question 7
1. An art student is searching for a rectangular canvas to paint on. His professor requires that the
height and width of each canvas exceed 12 inches, but because of the lack of framing materials,
the perimeter cannot exceed 60 inches. Which of the following systems correctly describe the
possible lengths (l) and width (w) of the canvas?
Question 8
1. Find the maximum and minimum values by evaluating the equation
points if the restrictions are the following:
minimum: 0, maximum: 12
minimum: 4, maximum: 12
minimum: 0, maximum 8
minimum: 4, maximum 8
at the critical
Question 9
1. Zack works at a carwash and can either do interior carpet cleaning, which takes 30 minutes per
job, or exterior car washes, which takes 20 minutes per job. He works a maximum of six hours
per day. If he is paid $5 for each exterior car wash and $6 for each interior carpet cleaning job,
which of the following is true about the number of hours Zack can clean carpets (c) and do
exterior car washes (e).
The system
correctly represents the situation.
The critical points (c, e) are (0, 0), (12, 0), and (0, 18).
Zack can maximize his earnings by doing 12 carpet cleaning jobs and zero exterior car
washes.
Zack can maximize his earnings by doing zero carpet cleaning jobs and 12 exterior car
washes.