Special Linear Relationships

Question 1

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

Revolt · Accepted Answer

E = 7.5h

Question 2

Which graph represents a function with direct variation?

Revolt · Accepted Answer

A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4).

Question 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?

Revolt · Accepted Answer

The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.

Question 4

What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)?

Revolt · Accepted Answer

k =

Question 5

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

Revolt · Accepted Answer

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).; 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).; 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).

Question 6

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?

Revolt · Accepted Answer

A 50-page photo album holds 400 photographs.

Question 7

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

Revolt · Accepted Answer

10, 8, 6, 4, 2, ...

Question 8

A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?

Revolt · Accepted Answer

y = x

Question 9

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

Revolt · Accepted Answer

y = 7x

Question 10

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

Revolt · Accepted Answer

k = –

Special Linear Relationships Answers

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