Special Linear Relationships

Question 1

Which linear relationship can be described as a function with direct variation?

Revolt · Accepted Answer

B: [Image: A coordinate plane with a line passing through (ne...]

Question 2

A prepaid cell phone charges a preset number of minutes to use text messaging. The graph represents y, the number of minutes used for x, the number of text messages sent and received. Is there a direct variation? Which equation represents the relationship?Yes, y = 2x.Yes, y = 20x.No, y = x + 10.No, y = x + 20.

Revolt · Accepted Answer

D: No, y = x + 20.

Question 3

This sequence represents the diameters of circles used to create an art project:2.5 cm, 3.1 cm, 3.7 cm, 4.3 cmLet f(n) represent diameter in centimeters and n the term number in the sequence. Which equation represents the sequence of diameters?f(n) = 0.6n + 1.9f(n) = 0.6n + 2.5f(n + 1) = f(n) + 1.9f(n + 1) = f(n) – 0.6

Revolt · Accepted Answer

A: f(n) = 0.6n + 1.9

Question 4

[___] per pound

Revolt · Accepted Answer

B: $1.75

Question 5

Question 5

Revolt · Accepted Answer

A: (0, 0); B: (2.5, 6); D: (7.5, 18); F: (15, 36)

Question 6

Consider the sequence of numbers: , , 1, 1 , 1, . . . Which statement is a description of the sequence?The sequence is recursive, where each term is greater than its preceding term.The sequence is recursive and can be represented by the function f(n + 1) = f(n) + .The sequence is arithmetic, where each pair of terms has a constant difference of .The sequence is arithmetic and can be represented by the function f(n + 1) = f(n).

Revolt · Accepted Answer

D: The sequence is arithmetic and can be represented by the function f(n + 1) = f(n).

Question 7

Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6, 10, and 15. Is there a direct variation between a triangular number and its position in the sequence? Explain your reasoning.

Revolt · Accepted Answer

Answer

Question 8

A 3-pound bag of apples costs $5.25. What is the unit price of a pound of apples?

Revolt · Accepted Answer

per pound: $1.75; pounds of apples: 10

Question 9

[___] pounds of apples

Revolt · Accepted Answer

C: 10

Question 10

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

A: The sequence is not a direct variation.

Special Linear Relationships Answers

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