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Mathematics 20 Online
OpenStudy (lukecrayonz):

The temp of a hot liquid is 100* Celsius and the room temp is 72* C. The liquid cools to 95.5 in 4 minutes. What is the temp after 14 mins?

OpenStudy (anonymous):

dont get tricked by the room temperature, it's not needed here...

OpenStudy (anonymous):

it's a related rates problem

OpenStudy (anonymous):

set up ur function first

OpenStudy (anonymous):

lemme give u a hint: y = temperature of the liquid and t = time in minutes, put temperature in terms of t

OpenStudy (lukecrayonz):

100 or 95.5..?

OpenStudy (anonymous):

100

OpenStudy (anonymous):

95.5 is when u plug in 4 as t and solve for the C variable which u'll get whenever ur integrating

OpenStudy (lukecrayonz):

I have never done integrating o.O

OpenStudy (lukecrayonz):

@11calcBC is it 86?

OpenStudy (lukecrayonz):

it's somewhere near that =[

OpenStudy (anonymous):

sounds reasonable so yea it should be correct

OpenStudy (anonymous):

LOL sry i didnt actually solve it...just guided u hope u dont mind :P

OpenStudy (lukecrayonz):

Can you please haha :P Just need this one question to be right then I can go to bed!

OpenStudy (anonymous):

lol hang on then

OpenStudy (anonymous):

WAIT LOL WTF

OpenStudy (lukecrayonz):

I KNOW 72 DEGREES CELSIUS IS NOT OKAY

OpenStudy (lukecrayonz):

if that's what you're about to say about the room temp xD

OpenStudy (anonymous):

LOLOL no i just realized u can just treat this as a linear function

OpenStudy (anonymous):

where y = 100 - 1.125t where y = temperature and t = time

OpenStudy (anonymous):

plug in 14 for t and u get degrees LOL

OpenStudy (anonymous):

omg biggest facepalm ever :DDD

OpenStudy (lukecrayonz):

Noooo it can't be 84 because the lowest avail option is 85 lol

OpenStudy (anonymous):

u sure its asking for the exact value or the closest value?

OpenStudy (lukecrayonz):

Round your answer to the nearest degree, 84.25=84

OpenStudy (anonymous):

i wud pick 85 lol sry outta time here

OpenStudy (lukecrayonz):

It was 87 :(

OpenStudy (anonymous):

how? derp

OpenStudy (anonymous):

are u sure? we didnt do anything wrong...

OpenStudy (lukecrayonz):

No idea lol

OpenStudy (lukecrayonz):

can you grab a calc and do ln(2)/0.019 and tell me the answer lol

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