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2. a is directly proportional to the square of b, and a = 8 when b = 2
a. What is the constant of variation? ___
b. What is the equation of variation? ___
C. If b = 5, what is the value of a?___
d if a =18 what is the value of b?___​

Sagot :

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A is directly proportional to the square of b, and a = 8 when b =

2

a. What is the constant of variation? 4

b. What is the equation of variation? A=KB

C. If b = 5, what is the value of a? 20

d if a =18 what is the value of b? 4.5

First step: write the equation of variation

A=KB

Second step:Find the value of the constant variation K.

A=KB

8=K(2)

8/2=K2/2

4=K

K=4

Third step:Write the equation.

A=4(B)

Fourth step: solve for the unknown.

A=4*5

A=20