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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

Avery Alexander

#14#

#"using "color(blue)"proportion"#

#100" people "to8" vials"#

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

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Answer 2

Nathan Axel

#14# vials

This can be resolved by using direct proportion, which gives us the following:

#yprop kx#

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

Eight vials are known to treat 100 people, so:

#8=k100#

Subtract 100 from the whole:

#k=8/100=2/25#

#:.#

#yprop2/25x#

Plugging in #x=175#

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

#14# vials are needed.

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Answer 3

Nathan Axel

To find out how many vials are required to treat 175 people, we can set up a proportion using the given information:

8 vials / 100 people = x vials / 175 people

Cross multiply:

8 * 175 = 100 * x

Solve for x:

1400 = 100x

Divide both sides by 100:

x = 1400 / 100

x = 14

So, 14 vials are required to treat 175 people.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.