Question

Help with functions?

Answer 1

@ganeshie8 @uri

Answer 2

The temperature of a chemical reaction ranges between 30°C and 70°C. The temperature is at its lowest point when t = 0 and completes one cycle over a six-hour period. What is a sine function that would model this reaction?

Answer 3

@Preetha @SolomonZelman

Answer 4

OH and here are the answers:

f(t) = 20 sin 10t + 50
f(t) = 50 sin 10t + 20
f(t) = 50 sin π/5 t + 20
f(t) = 20 sin π/5 t + 50

Answer 5

oh you have answer choices good!

Answer 6

hmm i see the period has to be in radians

Answer 7

Yesss

Answer 8

i would of think that the lowest degree is 30
but they give you 20 as the lowest somehow!

Answer 9

so A and D are not good options since t=0 give 50 which is not lowest degree as claimed!

Answer 10

you would have to convert 6 hour into radions to see what is could be
each hour is 2pi radians
hmm but then this does not give us what we wanted
12pi is no good

Answer 11

Here's a sample problem similar to it, if that'll help.

Answer 12

@undeadknight26 @sleepyjess

Answer 13

@SolomonZelman

Answer 14

ok let's see
at t=6
we have f(6)=70
50sin(6B)+20=70
sin(6b)=1
6b=pi/2
b=pi/12
didn't get that pi/5 there

Answer 15

Okay..