AnswersOC27 MATH COLL LIB ARTS-1207350-S1-Maguire-DAquinoSpecial Linear Relationships

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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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
3

The pattern of numbers below is an arithmetic sequence:14, 24, 34, 44, 54, ...Which statement describes the recursive function used to generate the sequence?

A
The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
B
The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
C
The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
D
The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.
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

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
6

The table represents a bicycle rental cost in dollars as a function of time in hours.

Question illustration
A
This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
B
This function represents a direct variation because it has a positive, constant rate of change of $10 per hour.
C
This function does not represent a direct variation because it does not represent the cost for 1 hour.
D
This function does not represent a direct variation because the function rule for the cost is to add $10, not multiply by a constant.
7

Which graphs show functions with direct variation? Select three options.

Question illustration
A
A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).
Option A
B
A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).
Option B
C
A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).
Option C
D
A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).
Option D
E
A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).
Option E
8

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
9

A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served.

Question illustration
A
t = 1.8g
B
t =
Option B
C
g = 1.8t
D
g =
Option D

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