Question

If the Fahrenheit measure of temperature is a function of the Celsius measure, and the Fahrenheit measure is 32 more than 9/5 times the Celsius measure how do I use g to represent the function?

Answer 1

Is this just asking for the Fahrenheit formula in terms of C?

Answer 2

I'm sorry, I really don't know

Answer 3

I'm not 100% sure, but that what it seems to me. Wait for someone to confirm. Do you know How to solve for F in term of C?

Answer 4

I believe he wants us to use variables like independent, dependent etc. I just don't understand that

Answer 5

and no to your answer

Answer 6

Do you not understand dependent an independent all together or just for this specific example

Answer 7

altogether

Answer 8

You are right, the question asks for you to assign letters to the variables :-)

Answer 9

Let F = the Fahrenheit measure of temperature

Let C = the Celsius measure of temperature

Answer 10

If we graph distance as function of time, this means that on the x axis we would put time and on the y axis we would put distance. So let's say after 1 hour we drove 60 miles, at point x = 1, y = 60 at point x = 2 y = 120. X which is time is independent. The distance traveled is dependent on time. Does this make sense?

Answer 11

Another way of putting it; time is not dependent on distance, rather distance is dependent on time.

Answer 12

yes that makes sense

Answer 13

Can you translate the the words in the sentence into an equation?

Answer 14

no skullpatrol

Answer 15

So the x axis is independent and y axis is dependent.
Another way of thinking about it is x = is input y = output.
If you can graph out the following on paper it would be helpful...

Answer 16

F = 32 + (9/5)*C

Answer 17

Do you know the freezing and boiling points of water in F and C? I'm trying to help you understand why the formula that was just posted is true.

Answer 18

skullpatrol I do get that or it could be1.8 instead of 9/5 right?

Answer 19

To use function notation:

F = g(C) = (9/5)*C + 32

Answer 20

Yes, 9/5 = 1.8

Answer 21

Answer: g(C) = 1.8*C + 32

Answer 22

THANK YOU SO MUCH!!! i GET IT!!

Answer 23

Note: F = g(C) is a symbolic way of saying the temperature as measured in Fahrenheit is a function, g of the temperature measured in Celsius.

Answer 24

LEIBY i BELIEVE IT IS 0 C and 32F for freezing and 212F and 100C for boiling

Answer 25

Correct. If you want do understand why F = 32 + (9/5)*C. Let me know and I'll show you.

Answer 26

Please show me

Answer 27

Since water freezes at 0 degrees C and boils at 100 degrees C.

Draw on the x axis a line from 0 to 100. (It doesn't need to be exact, you can make markings at increments of 10 if you'd like.)

Answer 28

Make the Y axis go up till 220. Mark on the Y axis where the freezing point and boiling points are (32 and 212). Make a line between the 2 points. Since y = slope x + intercept, calculate the slope which is (y2 - y1) / (x2 - x1) which is (212 - 32)/ 100 - 0) which is 180 / 100 simplified = 9/5 so the slpe is 9/5. The intercept is 32. So, Y = (9/5)x + 32. Or F = (9/5)C + 32

Answer 29

wow!! you are brilliant! Math is not my subject but I keep trying, now that I found open study I may get pretty good at it with people like you and skull. Thank you sooooo much for your patience and understanding. Now I am going to write down what you said and go to bed!!! I am sooo tired.

Answer 30

I'm not brilliant, I also keep trying, till I get it.

Answer 31

you have a nice rest of the night! Well, it is after 1 am now! Gotta get up at 6:30. What state do you live in?

Answer 32

One more thing, so which would be the independent and the dependent variable?

Answer 33

x is independent
y is dependent
So in F = 32 + (9/5)*C F is dependent on C

Answer 34

got it!! Thank you again!