AnswersDHS Algebra 2 VLinear Programming

Linear Programming — Unit test Answers

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The weight, w, in tons of a school bus is related linearly to its seating capacity, p. A 60-passenger bus weighs 10 tons, and an 84-passenger school bus weighs 13 tons. Which equation can be used to find the weight of a 50-passenger bus?

A
mc016-1.jpg
Option A
B
mc016-2.jpg
Option B
C
mc016-3.jpg
Option C
D
mc016-4.jpg
Option D
2
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The cost of a taxi ride is a linear function of the distance traveled. If a 5-mile ride costs $12 and a 9-mile ride costs $14, which equation can be used to find the cost, c, for any distance, m, traveled?

A
mc014-1.jpg
Option A
B
mc014-2.jpg
Option B
C
mc014-3.jpg
Option C
D
mc014-4.jpg
Option D
3

What is the equation of the line perpendicular to that passes through the point (12, –6)?

Question illustration
A
3x + 2y = 24
B
3x + 2y = 6
C
2x – 3y = 42
D
2x – 3y = –48
4

What is the equation of a line with a slope of –2 that passes through the point (6, 8)?

A
2x + y = 20
B
y – 2x = 4
C
y – 2x = 20
D
2x + y = 4
5

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones?

$
$1,400
$
$1,600
$
$1,700
$
$1,800
6

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?

A
q + d = 6 25q + 10d = 33
B
q + d = 6 0.25q + 0.1d = 33
C
q + d = 33 25q + 10d = 6
D
q + d = 33 0.25q + 0.1d = 6
7

The cost of a taxi ride is a linear function of the distance traveled. If a 5-mile ride costs $12 and a 9-mile ride costs $14, which equation can be used to find the cost, c, for any distance, m, traveled?

A
mc014-1.jpg
Option A
B
mc014-2.jpg
Option B
C
mc014-3.jpg
Option C
D
mc014-4.jpg
Option D
8

Which description could be written as a linear function?

A
eight more than twice a number
B
three more than the product of two numbers
C
ten more than the square of a number
D
nine more than one divided by a number
9

The constraints of a problem are listed below. What are the vertices of the feasible region?

Question illustration
A
(0, 0), (0, 3), (2, 3), (5, 0)
B
(0, 0), (0, 5), (2, 3), (5, 0)
C
(0, 0), (2, 3), (5, 0)
D
(0, 3), (0, 5), (2, 3)
10

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.18 + 3x = 24 + 2x What does x represent?

A
the total cost to fill the rectangular bird feeder after any number of weeks
B
the total cost to fill the cylindrical bird feeder after any number of weeks
C
the number of weeks the bird feeders are filled
D
the number of bird feeders purchased each week
11

If f(x) is a linear function, what is the value of n?xf(x)377n9161626.5

A
9
B
11
C
13
D
14
12

What is the equation of the line perpendicular to that passes through the point (12, –6)?

Question illustration
A
3x + 2y = 24
B
3x + 2y = 6
C
2x – 3y = 42
D
2x – 3y = –48
13

During free play, there must be more than 4 campers in a group, and the number of boys must not exceed the number of girls by more than 5. Which graph represents this system of inequalities?

A
Option
B
Option
C
Option
D
Option
14

If g(x) = 3x is graphed on a coordinate plane, what is the y-intercept of the graph?

A
0
B
1
C
2
D
3
15

Which equation is represented by the graph below?

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
mc018-4.jpg
Option C
D
mc018-5.jpg
Option D
16

Which statements are true about the graph of the system of linear inequalities? Select two options.y > 3x – 4y < x + 1

Question illustration
A
The graph of y > 3x − 4 has shading above a dashed line.
B
The graph of y < x + 1 has shading below a dashed line.
Option B
C
The graphs of the inequalities will intersect.
D
There are no solutions to the system.
E
The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).
17

Which description could be written as a linear function?

A
eight more than twice a number
B
three more than the product of two numbers
C
ten more than the square of a number
D
nine more than one divided by a number
18

If m 0, the graph of y = mx + b does not pass through which quadrant?

A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV
19

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?

A
h + c ≤ 803h + 3.5c ≤ 100
B
h + c ≤ 803h + 3.5c ≥ 100
C
h + c ≤ 1003h + 3.5c ≤ 80
D
h + c ≤ 1003h + 3.5c ≥ 80
20

The weight, w, in tons of a school bus is related linearly to its seating capacity, p. A 60-passenger bus weighs 10 tons, and an 84-passenger school bus weighs 13 tons. Which equation can be used to find the weight of a 50-passenger bus?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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