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marcelie
 one year ago
Help Please !!!!!!
When temperature is 0 degrees Celsius, the Fahrenheit
temperature is 32. When the Celsius temperature is 100, the
corresponding Fahrenheit temperature is 212. Express the
Fahrenheit temperature as a linear function of C, the
Celsius temperature, F(C).
a. Find the rate of change of Fahrenheit temperature
for each unit change temperature of Celsius.
b. Find and interpret F(28).
c. Find and interpret F(–40).
marcelie
 one year ago
Help Please !!!!!! When temperature is 0 degrees Celsius, the Fahrenheit temperature is 32. When the Celsius temperature is 100, the corresponding Fahrenheit temperature is 212. Express the Fahrenheit temperature as a linear function of C, the Celsius temperature, F(C). a. Find the rate of change of Fahrenheit temperature for each unit change temperature of Celsius. b. Find and interpret F(28). c. Find and interpret F(–40).

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so you have two data points right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0(0,32) and (100,212)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0since we have two points, we can always create a straight line.

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1so then i use the slope of the line ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you use the general formulae of a line. y=mx+c here F=mC+c where 'c' is the intercept, C is celcius temp and F is farenheit temp

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1441355697020:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we already know the intercept right? F=32? since C=0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hence F=mC+32 what is the other point we know? Substitute that point into the equation to solve for m

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1so my linear equation will be y= 1.8x +32 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0F=mC+32 we know point (100,212) Subt this into first eq. 212=100m+32 100m=180 m=180/100 m=1.8 hence F=1.8C+32

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so now, what is the rate of change of Fahrenheit? it is the differential with respect to time right?

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1so when it says rate of time is there a formula for it ?

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1So this is what i came up with my answers a, ? b. f(28) = 82.4 c. f(40)=40

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0b and c ask you to interpret. So this means for b. we say, at 28 degrees Celsius, the temperature is 82.4 Fahrenheit

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for a. we differentiate that equation with respect to time. \[F=1.8C+32\] \[\frac{ d }{ dt }\left( F \right)=\frac{ d }{ dt }\left( 1.8C+32 \right)\] \[\frac{ dF }{ dt}=1.8\frac{ dC }{ dt }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the differentiation of a constant is always zero. remember.

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1so is that a formula ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that is the rate of change of farenheit temperautre

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1okay. so what do i plug in to it ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmm. maybe what i did was a bit too complex for you at this level.

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1yes. lol i am taking pre cal. so i thinks its calculus lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0perhaps that is simply the slope they are looking for?

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1so for a its f = 1.8c +32 ? or do i have to solve it more?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well 'for each unit change in celcius temp, means we should plug in c=1,2,3,...etc right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats simple what a unit change means

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0have you learnt what a derivative is or not?

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1okay. so once i plug in those numbers whats the next step is ? I dont think so.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i don't know if theres enough information to calculate the rate. we aren't given the time of how long it takes to get from 0 degrees to 100 degrees.. :/

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1hmmm. so should i leave the answer as f= 1.8c+32 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats the answer for the questions: 'Express the Fahrenheit temperature as a linear function of C, the Celsius temperature, F(C).'

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but yea, not 100% sure what a wants us to find out sicne you are doing precalc

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1hmmm. how would u solve it ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ dF }{ dt}=1.8\frac{ dC }{ dt }\]

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1okay. so what do i plug in for df /dt = 1.8 dc/dt

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0nothing. that is just a general from on how to write functions with respect to time, i.e rates of change

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you don't have enough info to find the rate

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1for letter b the wording is the same but the number changes right ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep so at 40 degrees celcius, the temperature is equivalent to ... degrees farenheit

marcelie
 one year ago
Best ResponseYou've already chosen the best response.1Okay . Got it !!!!!!!! Thank You. You helped me a lot

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no problem :) hope all goes well

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ahhaha i will, gladly!
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