The two quantities are said to be inversely proportional and each term varies inversely with the other. Inversely proportional relationships are also called inverse variations. Relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.
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Inverse Variation
The two quantities are said to be inversely proportional and each term varies inversely with the other. Inversely proportional relationships are also called inverse variations. Relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.
Answers:
B.
Solutions:
B.
1. Given: y = 5
x = 6
Find k.
y =
5 =
(5)(6) = k
30 = k
Find the equation.
y =
y =
2. Given: x = 4
k = 36
Find y.
y =
y =
y = 9
Find the equation.
y =
y =
3. Given: y = 20
y =
Find k.
y =
y =
k = 50
Find x.
y =
20 =
20x = 50
x =
4. Given: x = 12
y =
Find k.
y =
y =
k = 24
Find y.
y =
y =
y = 2
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