The variable z is inversely proportional to x. When x is 16, z has the value 0.9375. What is the value of z when x= 26?

Respuesta :

The problem belongs to indirect variation.

formula for indirect variation is [tex] z*x=k [/tex]

we have [tex] x=16 [/tex]

[tex] z=0.9375 [/tex]

we know that [tex] k=z*x [/tex]

[tex] k=0.9375*16=15 [/tex]

now we need find [tex] z [/tex] when [tex] x=26 [/tex]

[tex] z=k/x [/tex]

[tex] z=15/26=0.57 [/tex]

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