[tex]\Large\color{aqua}\underline\mathbb{COMBINED \: VARIATION}[/tex]
4. Suppose z varies directly as the square of x and inversely of y, and z=6 when x=3 and= 4 a. What is the constant variation?
[tex]\\[/tex]
To determine the constant of variation, substitute the values of x, y, and z to the constant of variation.
z varies directly as the square of x and inversely of y
Given values:
- z = 6, x = 3, y = 4
- 6 = (k)(3)²/4
- 6 = 9k/4
- (4)(6) = 9k
- 24 = 9k
- 24/9 = k
- 8/3 = k
- 2.6 = k
[tex]\\[/tex]
[tex]\color{blue}\underline\mathbb{ANSWER:}[/tex]
- ∴ Therefore, the constant of variation is 2.6.
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[tex]\tt\color{aqua}{9:38 \: am}[/tex]
[tex]\tt{3/4/22}[/tex]
