The amount of caffeine consumed from a glass of Diet Pepsi is proportional to the number of ounces that was drank. The table below shows the amount of caffeine consumed by three different people and the corresponding number of ounces of Diet Pepsi that they each drank.

Question

Amount of Caffeine (mg) 24 36 48
Amount of Diet Pepsi (oz) 8 12 16
What is the unit rate (or constant of proportionality)?
Write an equation to represent this proportional relationship. Make sure to define the variables you used.

Answer 1

sorry, I normally go on a website that have computers that answer quickly. I will wait.

Answer 2

Amount of Caffeine (mg) 24 36 48
Amount of Diet Pepsi (oz) 8 12 16

24 mg caffeine/8 oz pepsi = 3 mg Caffeine/oz Pepsi.
36 mg caffeine/12 oz Pepsi = 3 mg caffeine/oz Pepsi
48 mg caffeine/16 oz Pepsi = 3 mg caffeine/oz Pepsi
So the constant is .........

So mg caffeine consumed = ?oz Pepsi x (3 mg caffeine/oz Pepsi)
You can use whatever symbols you wish.

Answer 3

NOTE: I would be interested in knowing the site in which a computer does this for you.

Answer 4

algebra tiger

mathway

mathpapa

(those r the websites i can think of)

Answer 5

Ok, I would like you to post your question to "mathpapa" and then show me the results.
I would be really interested how a robot would answer your question.

This is how this human would do it:
"The amount of caffeine .... is proportional to the number of ounces ..."
-----> C = Kx, where x is the number of ounces, and C is the amount of caffeine
given: when C = 24, x = 8, so ...
24 = 8k or k = 3 <---- the constant of proportionality

so we know C = 3x

all done

Answer 6

DrBob222 I do this on vbcava.ignitiaschools.com

Answer 7

Since this is off a test you SHOULD NOT BE ASKING ON HERE :(