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2. Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation.
y = 4.5 when x = 3
a. k = 13.5; xy = 13.5
b. k = 1.5; y = 1.5
x
c. k = 1.5; y = 1.5x
d. k = 13,5; 13.5y = x

Respuesta :

elcharly64

Answer:

Correct choice: a. k = 13.5; xy = 13.5

Step-by-step explanation:

Inverse Proportion

Two variables x and y are in inverse proportion or variation if:

[tex]\displaystyle y=\frac{k}{x}[/tex]

Where k is the constant of proportionality

Since we know that y=4.5 when x=3:

[tex]\displaystyle 4.5=\frac{k}{3}[/tex]

Solving for k:

[tex]k = 4.5*3 = 13.5[/tex]

Thus the equation is:

[tex]\displaystyle y=\frac{13.5}{x}[/tex]

Or, equivalently:

[tex]xy = 13.5[/tex]

Correct choice: a. k = 13.5; xy = 13.5

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