Finding A Mathematical Model

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Section 1.10
54 & 60

Question 54

The mathematical model is A = kr^2. I must now find k.

A = kr^2

9pi = k(3^2)

9pi = 9k

9pi/9 = k

pi = k

The constant of proportionality is pi.

Question 60

I found the mathematical model to be
z = k[x^2/y].

Let k = constant of proportionality.

6 = k[(6^2)/4]

6 = k[(36)/4]

6 = 9k

6/9 = k

2/3 = k

You say?


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