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.