y = 0.835 when x equals 2 and z equals 4
Step-by-step explanation:
Given
y varies directly with x and inversely with z
This can be written as:
y ∝ x/z
When the proportionality symbol is removed, constant of proportionality is introduced
[tex]y = k\frac{x}{z}[/tex]
Putting the given values of x,y and z
x = 36
z = 6
y = 10
[tex]10 =k*\frac{36}{6}\\10 = 6 * k\\k = \frac{10}{6}\\k = 1.6666\\Rounding\ off\ to\ nearest\ hundredth\\k = 1.67[/tex]
So
[tex]y = 1.67*\frac{x}{z}[/tex]
Putting x = 2
z = 4
[tex]y = 1.67 * \frac{2}{4}\\= \frac{3.34}{4}\\=0.835[/tex]
So,
y = 0.835 when x equals 2 and z equals 4
Keywords: Proportion, variation
Learn more about proportion at:
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