Question

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?

Answer 1

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Answer 2

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

y

∝

k

x

Where

k

is the constant of variation. To find

k

:

We know 8 vials will treat 100 people.So:

8

=

k

100

Divide by 100:

k

=

8

100

=

2

25

∴

y

∝

2

25

x

Plugging in

x

=

175

y

=

2

25

(

175

)

=

14

14

vials are needed.

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