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

The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

Revolt · Accepted Answer

A: ✔ 1/9

Question 3

Luis uses cubes to represent each term of a pattern based on a recursive function. The recursive function defined is f(n + 1) = f(n) + 4, where n is an integer and n ≥ 2. The number of cubes used in each of the first two figures is shown below. How many cubes does Luis use in the third, fourth, and fifth figures of the pattern? Fill in the blanks.

Revolt · Accepted Answer

⇒ 17: 17; ⇒ 21: 21; ⇒ 25: 25

Question 4

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?

Revolt · Accepted Answer

D: No, y = x + 20.

Question 5

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?

Revolt · Accepted Answer

A: f(n) = 0.6n + 1.9

Question 6

What other points are on the line of direct variation through (5, 12)? Check all that apply.(0, 0)(2.5, 6)(3, 10)(7.5, 18)(12.5, 24)(15, 36)

Revolt · Accepted Answer

B: (2.5, 6)

Question 7

Consider the sequence of numbers: , , 1, 1 , 1, . . . Which statement is a description of the sequence?

Revolt · Accepted Answer

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

Question 8

✔ y = (1/9)xy = (1/3)xy = 3xy = 9x

Revolt · Accepted Answer

A: ✔ y = (1/9)x

Question 9

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; : y = 1.75x

Question 10

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

Revolt · Accepted Answer

B: ✔  $1.75

Special Linear Relationships Answers

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