Mathematics: Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.

Find the constant of variation for the relation and

sunshine0613

07.01.2022

option d.

Step-by-step explanation:

If y varies directly as x and z, the form of the equation is:

y=kxz

Where k is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for k:

$4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}$

Substitute the value of k into the expression. Then, the equation is:

$y=\frac{2}{3}xz$

To find the value of y when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

$y=k=\frac{2}{3}(7)(4)$

$y(7,4)=\frac{56}{3}$

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jewelia2801

06.08.2021

thats a false statement −1904≠180

False

Step-by-step explanation:

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