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Write an equation that describes the following relationship: y varies jointly as I and the square root of z, and whenx = 1 and z = 16, then y = 16.=y =help (formulas)

Write An Equation That Describes The Following Relationship Y Varies Jointly As I And The Square Root Of Z And Whenx 1 And Z 16 Then Y 16y Help Formulas class=

Sagot :

We are looking at the equation where y varies jointly as x and the square root of z. The initial equation that represents this relationship is written as

[tex]y=kx\sqrt[]{z}[/tex]

where k is the proportionality constant. We need to solve for the value of k given that at x = 1 and z = 16, the value of y is equal to 16. This is done as follows:

[tex]\begin{gathered} 16=k(1)(\sqrt[]{16}) \\ 16=4k \\ \frac{4k}{4}=\frac{16}{4} \\ k=4 \end{gathered}[/tex]

Therefore, the equation that shows the relationship of y to x and z is written as

[tex]y=4x\sqrt[]{z}[/tex]

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