AnswersNC-Math 1 CRSlope-Intercept Form of a Line

Special Linear Relationships Answers

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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

Three points of a function are graphed.

Question illustration
A
The function is a direct variation function with a constant of variation of 1.5.
B
The function is a direct variation function with a constant of variation of 1.8.
C
The function is linear but is not a direct variation function.
D
The function is not a linear function.
6

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
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
10

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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