Question

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The temperature of a chemical reaction ranges between 40 degrees Celsius and 180 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 12-hour period. What is a cosine function that models this reaction?

Answer 1

help!

Answer 2

is it f(t) = 70 cos 12t + 110?

Answer 3

C.

Answer 4

C

Answer 5

why C?

Answer 6

the amplitude A of your function is: \[\Large A = \frac{{180 - 40}}{2} = ...?\]

Answer 7

70

Answer 8

Yes

Answer 9

Corrcet

Answer 10

but c has -70

Answer 11

since the period of our function is 12 hours, so the shape og our function has to be this: \[\Large \cos \left( {\frac{{2\pi }}{{12}}t} \right)\]

Answer 12

but why -70 in the front?

Answer 13

since at t=0, the value is 40, then we have this drawing:

now, if I set t=0 into the first option I get: f(0)= 180 so the first option is not the right option

Answer 14

ok so it is C.

Answer 15

Yes C

Answer 16

please substitute t=0 into the third option, what do you get? f(0)=...?

-70 cos + 110?

we have: \[\Large - 70\left( {\cos 0} \right) + 110 = - 70 \times 1 + 110 = 40\]

So da answer is C. U WELCOME IF ANY OF YALL NEED HELP IN MATH JUST ASK ME IM A LITTLE GOOD IN MATH k PEACE OUT SON