Exponential Growth Functions Answers

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On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?

Question illustration
A
b = –a
B
–b = –a
C
b – a = 0
D
b(–a) = 0
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Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian spent a total of $26.50. The book costs can be represented by the system of equations below. h + p = 251.50h + 0.50p = 26.50

A
11
B
12
C
13
D
14
23

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.x + y = 243x + 5y = 100What does the solution of this system indicate about the questions on the test?

A
The test contains 4 three-point questions and 20 five-point questions.
B
The test contains 10 three-point questions and 14 five-point questions.
C
The test contains 14 three-point questions and 10 five-point questions.
D
The test contains 20 three-point questions and 8 five-point questions.
24

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct?

A
The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
B
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
C
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
D
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.
25

Which ordered pair is in the solution set of the system of linear inequalities?y > x – 1y < x – 1

Question illustration
A
(–5, 2)
B
(2, 2)
C
(5, 2)
D
no solution

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