The value of y is 18.46 when x=10 and z = 26
Step-by-step explanation:
The direct proportion is denoted as:
y∝x
And the inverse proportion will be denoted as:
y∝1/z
combining both
y∝ x/z
When the symbol of proportionality is removed, the proportionality constant is introduced
[tex]y = k\frac{x}{z}[/tex]
Given
y = 32 when x=4 and z = 6
Putting the values
[tex]32 = k * \frac{4}{6}\\k = 32 * \frac{6}{4}\\k = 8*6\\k = 48[/tex]
So the equation will become:
[tex]y = 48* \frac{x}{z}[/tex]
Putting x=10 and z= 26
[tex]y = 48 * \frac{10}{26}\\y = \frac{480}{26}\\y = 18.4615[/tex]
Hence,
The value of y is 18.46 when x=10 and z = 26
Keywords: Proportion, variation
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