Special Linear Relationships

Question 1

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

f(n) = 0.6n + 1.9

Question 2

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

(2.5, 6)

Question 3

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

Revolt · Accepted Answer

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

Question 4

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

✔ 1/9; 1/9; y = (1/9)x

Question 5

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

Revolt · Accepted Answer

✔ $1.75; per pound: $1.75; pounds of apples: 10; y = 1.75x

Special Linear Relationships Answers

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