tacosaremyaddic
tacosaremyaddic tacosaremyaddic
  • 24-02-2018
  • Mathematics
contestada

if y varies directly as x, and y=6 as x=-1, find y for the x-value of 5

Respuesta :

rejkjavik rejkjavik
  • 26-01-2019

Answer:

[tex]y=-30[/tex]

Step-by-step explanation:

we are given

y varies directly as x

so, we can write equation as

[tex]y=kx[/tex]

where

k is constant of proportionality

We have

at x=-1 , y=6

so, we can use it to find k

[tex]6=k(-1)[/tex]

so, we get

[tex]k=-6[/tex]

now, we can plug it back

[tex]y=-6x[/tex]

now, we can plug x=5

and we get

[tex]y=-6\times 5[/tex]

[tex]y=-30[/tex]

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