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Special Linear Relationships.Assignment
Which linear relationship can be described as a function with direct variation? - answer
Graph Two
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.
What is the constant of variation?
What is the equation representing the direct variation? - answer1. 1/9
2. y=(1/9)x
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.
Figure 1: 9 cubes
Figure 2: 13 cubes
Figure 3:
Figure 4:
Figure 5: - answerBlank One: 17 cubes
Blank Two: 21 cubes
Blank Three: 25 cubes
The first five terms of an arithmetic sequence are shown below:
20, 17, 14, 11, 8, . . .
Let n represent the term number and f(n) the term in the sequence.
The function _______ represents the sequence. - answerf(n)=-3n+23
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? - answerA. Yes, y=2x
This sequence represents the diameters of circles used to create an art project:
2.5 cm, 3.1 cm, 3.7 cm, 4.3 cm
Let f(n) represent diameter in centimeters and n the term number in the sequence.
Which equation represents the sequence of diameters? - answerA. f(n) = 0.6n + 1.9
A 3-pound bag of apples costs $5.25. What is the unit price of a pound of apples?
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