Special Linear Relationships

Question 1

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

Revolt · Accepted Answer

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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

✔ 1/9; 1/9; y = (1/9)x

Question 3

✔ y = (1/9)xy = (1/3)xy = 3xy = 9x

Revolt · Accepted Answer

✔ y = (1/9)x

Question 4

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; 21; 25

Question 5

Question 72595

Revolt · Accepted Answer

21

Question 6

Question 72596

Revolt · Accepted Answer

25

Question 7

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 8

8 9✔ 10 11

Revolt · Accepted Answer

✔ 10

Question 9

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

Revolt · Accepted Answer

✔ y = 1.75x

Question 10

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

Revolt · Accepted Answer

✔ f(n) = –3n + 23

Special Linear Relationships Answers

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