Write an equation that expresses the following relationship. varies directly with and inversely with the square of In your equat
ion, use as the constant of proportionality.
2 answers:
Here d varies directly with cube of w, and inversely with p. So w cube have to be in the numerator and p have to be in the denominator. And we need to use k for constant of proportionality. Therefore the required equation is
In direct proportionality, the relatioship is linear that is as w increases, d increases and as w decreases d decreases and for inverse, it is opposite .
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Given that:
James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .
To find:
The equation that can be used to solve for zach's age.
Solution:
Let the age of zach be Z.
Zach added 8 to his age = Z+8
And multiplied this sum by 3 = 3(Z+8)
James is 6 times older than his friend Zach = 6Z
Now,
Divide both sides by 3.
Therefore, the required equation is is age of zach is 8 years.