Question

Given:

at 11:30 pm, temperature = 94.6 F
at 12:30 am; temperature = 93.4 F
room temperature (constant) = 70 F

at what time is temperature = 98.6 F?

Answer 1

\[\ln (\frac{93.4 - 70}{94.6-70}) = k\]
\[\ln (0.9512) = k\]
\[k = -0.0500\]

Answer 2

\[\ln (\frac{94.6 - 70}{98.6 - 70}) = -0.0500t\]
\[\ln (0.8601) = -0.0500t\]
\[-0.1507 = -0.0500t\]
\[t = 3.014 hours\]

Answer 3

okay my question is actually just simple...

Answer 4

how come 11:30 pm minus 3.014 hours is 8:29 pm?? or am i wrong???

Answer 5

3.014 hours is approximately 3 hours and 1 minute

Answer 6

convert the decimal part of the hours to minutes by multiplying by 60:

0.014 * 60 = 0.84

Answer 7

then i did 0.84 x 60...

Answer 8

it's 50 seconds

Answer 9

so i approximate it to be 3 hours 1 minute? @asnaseer

Answer 10

yes

Answer 11

thanks

Answer 12

yw :)

Answer 13

lol so many people ran away when they saw differential equations..i just had a simple question

Answer 14

:)