Special Linear Relationships Answers

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Which graph represents a function with direct variation?

A
A coordinate plane with a U shaped line graphed with the minimum at (0, 0).
Option A
B
A coordinate plane with a V shaped line graphed with the minimum at (0, 0).
Option B
C
A coordinate plane with a line passing through (negative 4, 2), (0, 0) and (4, negative 2).
Option C
D
A coordinate plane with a line passing through (negative 2, negative 3), (0, 1) and (1, 3).
Option D
2
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Which graph represents a function with direct variation?

A
A coordinate plane with a line passing through (negative 4, 0) and (0, negative 2).
Option A
B
A coordinate plane with a line passing through (negative 5, 4) and (0, 3).
Option B
C
A coordinate plane with a line passing through (negative 4, negative 6) and (0, 3).
Option C
D
A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4).
Option D
3

The sequence below shows Marisa’s library fine starting on the first day her book is overdue and for each additional day afterward:$0.50, $0.65, $0.80, $0.95, $1.10, ...Let f(n) represent Marisa’s library fine (in dollars), where n is the number of days the book has been overdue, starting with n=1 for the first day overdue.Which equation represents Marisa’s library fine as a function of a book that is n days overdue?

A
f(n) = 0.15n
B
f(n) = 0.50n
C
f(n) = 0.15n + 0.35
D
f(n) = 0.50n + 0.15
4

The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the number of pages in an album. Which statement describes another point on the graph of this function?

A
A 50-page photo album holds 400 photographs.
B
An 80-page photo album holds 560 photographs.
C
A 100-page photo album holds 8,000 photographs.
D
A 900-page photo album holds 8,400 photographs.
5

A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?

A
y =
Option A
B
y =
Option B
C
y = 7x
D
y = 14x
6

The graph represents the direct variation function between earnings in dollars and hours worked.

Question illustration
A
E = 1.5h
B
E = 7.5h
C
E = 13h
D
E = 15h
7

What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

A
k = –
Option A
B
k = –
Option B
C
k =
Option C
D
k =
Option D
8

Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?

A
–10, –12, –14, –16, –18, ...
B
–2, 8, 18, 28, 38, ...
C
8, 18, 28, 38, 48, ...
D
10, 8, 6, 4, 2, ...

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