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?

Kallie Fritz

Kallie Fritz

Answered question

2022-09-19

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 & Explanation

lufi8c

lufi8c

Beginner2022-09-20Added 11 answers

Explanation:
using proportion
10 people 8 vials
175 people 8 1 × 175 100 = 14 vials
odenut6b

odenut6b

Beginner2022-09-21Added 3 answers

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=k100
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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