eristineappepp eristineappepp
  • 21-11-2016
  • Mathematics
contestada

p varies directly as q. When q = 31.2, p = 20.8. Find p when q = 15.3.
a.10.2
b.22.95
c.42.4
i got B ...?

Respuesta :

calculista
calculista calculista
  • 25-11-2018

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In this problem we have

[tex]p=20.8\\q=31.2[/tex]

Find the value of k

[tex]k=q/p[/tex]

Substitute the values

[tex]k=31.2/20.8[/tex]

[tex]k=1.5[/tex]

The linear equation is

[tex]q=1.5p[/tex]

For [tex]q=15.3[/tex]

Find the value of p

Substitute in the linear equation and solve for p

[tex]15.3=1.5p[/tex]

[tex]p=15.3/1.5=10.2[/tex]

therefore

the answer is the option a

[tex]10.2[/tex]

Answer Link

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