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1.
A company produces a product that sells for $ 22, giving them a revenue of
24x
when
x units are produced and sold. They have fixed costs of $ 364 and variable costs of $
18 per unit.
A) Find a formula for their total cost, C, as a function of the number of units produced
and sold, x.
B) Find their breakeven point.
2.
Determine whether
( )
0, –2
is a solution to the following system.
–7 + 6xy
–28
–5 + 2xy
–17
A)
It is not a solution.
B)
It is a solution.
3.
Determine whether
( )
6, –6
is a solution to the following system.
+2xy
9
–5 + 5xy
–40
A)
It is not a solution.
B)
It is a solution.
4.
Determine whether
( )
6, –2
is a solution to the following system.
y
2 – 2x
y
–13+ x
A)
It is not a solution.
B)
It is a solution.
5.
Determine whether
( )
1,0
is a solution to the following system.
y
–3 – 2x
y
1– 3x
A)
It is a solution.
B)
It is not a solution.
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6.
On the grid provided, graph and shade in the areas described by the linear inequality:
y < 2x
–
2
7.
Use an inequality to describe the shaded region.
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8.
Select an inequality to describe the shaded region.
A)
y < 2x
+
2
B)
y < 2x
–
2
C)
y > 2x
+
2
D)
y < –2x
+
2
9.
Select an inequality to describe the shaded region.
A)
y >
1
3
x
+
1
B)
y <
1
3
x
–
1
C)
y <
1
3
x
+
1
D)
y <
1
3
−
x
+
1
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10.
Create an inequality to describe the shaded region.
11.
On the grid provided, graph and shade in the areas described by the linear inequality:
y >
1
2
x
–
2
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12.
Select an inequality to describe the shaded region.
A)
B)
C)
D)
13.
Create an inequality to describe the shaded region.
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14.
On the grid provided, graph and shade in the areas described by the linear inequality:
15.
On the grid provided, graph and shade in the areas described by the linear inequality:
x
–
3y < –3
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16.
On the grid provided, graph and shade in the areas described by the linear inequality:
y > –3
17.
On the grid provided, graph and shade in the areas described by the linear inequality:
x < 3
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18.
On the grid provided, graph and shade in the areas described by the compound
inequality:
y >
3
–4
x + 1
y
1
4
x
–
2
19.
Create a compound inequality to describe the shaded region on the graph:
20.
The Wisconsin Agricultural Extension office publishes recommendations for farmers.
A recent publication stated that dairy cows should be fed corn (C) according to their
production (P) of milk, with the minimum amount of corn being given by the equation
Cmin = 0.33P + 5 and the maximum amount of corn being Cmax = 0.39P + 7. According
to this recommendation, what would be the maximum amount of corn that should be fed
to a cow that is producing 67 pounds of milk?
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21.
The Wisconsin Agricultural Extension office publishes recommendations for farmers.
A recent publication stated that dairy cows should be fed corn (C) according to their
production (P) of milk, with the minimum amount of corn being given by the equation
Cmin = 0.36P + 5 and the maximum amount of corn being Cmax = 0.39P + 7. Create a
system of inequalities to describe the recommendation.
22.
The safe capacity (in pounds) of a portable propane tank is given by the formula: Cmax
= 19 – 0.012T. Where T is the current temperature. When the temperature is 41°, is it
safe to fill the tank to a capacity of 19.29 pounds?
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Answer Key
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