Special Linear Relationships Answers

Figure 3: cubes

The function [___] represents the sequence.

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.

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

[___] per pound

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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).

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

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?

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?

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)

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

Figure 4: cubes

[___] pounds of apples

Figure 5: cubes

[___]

[___]

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.

[___]

✔ y = (1/9)xy = (1/3)xy = 3xy = 9x

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.

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Question text not available

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

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

8 9✔ 10 11

y = 1.25x✔ y = 1.75xy = 2.25xy = 2.75x

✔ f(n) = –3n + 23f(n) = –3n + 61f(n) = 20 – 3nf(n) = 20n – 3