AnswersVT-VA-EOC-SOL-Algebra I Functions and StatisticsDirect and Inverse Variation

Direct and Inverse Variation Answers

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1
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If y varies directly with x, the constant of variation is .

A
1
B
3
C
5
D
7
2
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The equation representing this relationship is .

A
y = x
B
y = 2x
C
y = 5x
D
y = 10x
3

Consider the table of values. | If y varies directly with x, the constant of variation is . | The equation representing this relationship is . | What is the value of y when x = 11?

A
5
B
11
C
25
D
55
4

D =

A
0.5
B
1
C
1.5
D
2
5

A =

A
0.5
B
1
C
2
D
4.5
6

Boyle’s law states that when considering gases, volume varies inversely with pressure. If V represents the volume of the gas and P represents the pressure of the gas, what would the formula be that represents this relationship? If a balloon has a volume of 4 L of gas with a pressure of 5 atmospheres, what will the volume be when the pressure is 3 atmospheres?

A
The formula is V = kP, and when P = 3, V = .
B
The formula is V = kP, and when P = 3, V = .
C
The formula is k = VP , and when P = 3, V = 4.
D
The formula is k = VP, and when P = 3, V = .
7

Does the relationship between x and y represent direct or inverse variation? What is the constant of variation?

A
direct variation; k = –2
B
direct variation; k =
C
inverse variation; k = –2
D
inverse variation; k =
8

A musical instrument has a pitch of 220 hertz when the wavelength is 3 feet. When the wavelength is 4 feet, the pitch is 165 hertz. | What is the type of variation between pitch and wavelength? | What is the pitch when the wavelength is 5 feet? | hertz

A
converse variation
B
direct variation
C
inverse variation
9

hertz

A
132
B
470/3
C
220
D
1,100/3
10

B =

A
1
B
2
C
4.5
D
9
11

C =

A
0.5
B
1
C
1.5
D
2

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