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Mathematics 21 Online
OpenStudy (anonymous):

LAST QUESTION FOR YEAR!!!!! HELP PLEASE!!! The temperature of a chemical reaction ranges between 20°C and 160°C. The temperature is at its lowest point when t = 0, the temperature is 90 degrees and increasing. What is a sine function that would model this reaction?

OpenStudy (anonymous):

f(x) = 90 sin pi/4 x + 70 f(x) = 70 sin pi/4 x + 90 f(x) = 70 sin 8x + 90 f(x) = 90 sin 8x + 70

OpenStudy (sweetburger):

t is y values amiright?

OpenStudy (anonymous):

Yes? I'm not 100 percent sure this is all the info it gives me

OpenStudy (sweetburger):

you have a graphing calc?

OpenStudy (anonymous):

I do!

OpenStudy (sweetburger):

well we could be really bad and plug each of them in and see which graph has the smallest value when x approaches y=0

OpenStudy (anonymous):

could I use wolfram for this? or does it have to be on my graphing calc?

OpenStudy (sweetburger):

or when x=0

OpenStudy (sweetburger):

probably could use wolfram

OpenStudy (anonymous):

nvm wolf ram just gives line equations

OpenStudy (sweetburger):

oh yea...

OpenStudy (anonymous):

can you do it? I'm trying but I have Noooooo idea how to

OpenStudy (sweetburger):

make sure ur calculator is in radian measures when you plug this in

OpenStudy (sweetburger):

which calc do u have?

OpenStudy (anonymous):

ti-84 pluc c silver

OpenStudy (sweetburger):

i walk u through the steps but i do not own that calc

OpenStudy (anonymous):

ok! i'll try! I made sure its in radians

OpenStudy (anonymous):

now what?

OpenStudy (sweetburger):

what point are you at?

OpenStudy (anonymous):

wdym? I typed in the equation and I got 74.82118

OpenStudy (anonymous):

the first one

OpenStudy (sweetburger):

are you in the graphing section of your calc?

OpenStudy (sweetburger):

OH SNAP

OpenStudy (sweetburger):

t means time and time is ALWAYS THE INDEPENDENT VARIABLE

OpenStudy (sweetburger):

so when x=0 the graph should be at its lowest point

OpenStudy (anonymous):

um OK!!!!! hahahaha

OpenStudy (sweetburger):

sorry im retarded now i think i can answer this question

OpenStudy (anonymous):

so you just plug in zero?

OpenStudy (sweetburger):

yea but thats not it because your then left with choice A. and D.

OpenStudy (anonymous):

why only a or d

OpenStudy (sweetburger):

because when you plug in x=0 for both of those functions you get the lowest y value of 70

OpenStudy (anonymous):

oooh ok

OpenStudy (anonymous):

so how do we solve it the rest of the way?

OpenStudy (sweetburger):

thinking

OpenStudy (sweetburger):

ugh wait the question says that when t=0 the temperature is 90 so the real choices are b and c

OpenStudy (anonymous):

ok...

OpenStudy (sweetburger):

ok i think i got the answer finally and i believe it is C. because it ranges from 20-160 and its temperature at time 0 is 90

OpenStudy (sweetburger):

just let me try b first

OpenStudy (anonymous):

ok!

OpenStudy (sweetburger):

nope its b.

OpenStudy (anonymous):

ok! thank you so much!

OpenStudy (sweetburger):

alright glad to help

OpenStudy (sweetburger):

i hate that question though

OpenStudy (anonymous):

You got it right!!!!

OpenStudy (sweetburger):

it killed my calculator literally it just died in my hand

OpenStudy (sweetburger):

no battery :( i cry every time

OpenStudy (anonymous):

oh man im sorry!!! I do also... I hate trig in general!

OpenStudy (anonymous):

:P thanks man!

OpenStudy (sweetburger):

trig is the worst glad we got it right though

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