A health department estimates that 8 vials of malaria serum will treat 100 people. At this rate, how many vials are required to treat 175 people?

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Answer 1 · 2018-03-28T08:18:59

$14$

$"using "color(blue)"proportion"$

$100" people "to8" vials"$

$175" people "to8/1xx175/100=14" vials"$

Answer 2 · 2018-03-28T08:23:01

$14$ vials

We can solve this using direct proportion. For direct proportion we have:

$yprop kx$

Where $k$ is the constant of variation. To find $k$ :

We know 8 vials will treat 100 people.So:

$8=k100$

Divide by 100:

$k=8/100=2/25$

$:.$

$yprop2/25x$

Plugging in $x=175$

$y=2/25(175)=14$

$14$ vials are needed.