Question

Short Answer: Type your answer in the space below each question. Show your work when applicable.

6. The velocity of sound in air is given by the equation =20√(273+t) , where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the temperature when the velocity is 329 meters per second by graphing the equation. Round the answer to the nearest degree

Answer 1

Is it a Physics Question

Answer 2

Nooo its not.. its algebra 2

Answer 3

Algebra eh?

Answer 4

Yes, the problem does stem from Physics, showing up in an Algebra course. But everything necessary to know is contained in the presentation of this problem.

v(t)=20√(273+t).

Answer 5

Supposing that you are told that the velocity at one point in time is 329 m/sec; your job is to determine the time at which that is true.

Answer 6

Good. How are you going to solve that for time, T?

Answer 7

Although the problem asks you to find T graphically, you could certainly solve this problem algebraically and compare the result (T = ?) to the solution you obtain through graphing.

Answer 8

329=20sqrt(273+T)
329/20=sqrt(273+T)
16.45=sqrt(273+T)
16.45^2=273+T

Answer 9

now im lost

Answer 10

so far, so good! Get out your calculator again. Type in 16.45 and then whichever key will square that 16.45 for you. Write down your result, and then equate it to 273 + T.

Answer 11

16.45^2=270.6

Answer 12

Yes, and so you have the equation 270.6 = 273 + T. Please solve for T. To accomplish this, subtract 273 from both sides. Note: This will give you a T that is negative. Is that OK or not OK? Why?

Answer 13

ty mathmale i had the same question

Answer 14

-2.4 and no because the negatives change to a positive

Answer 15

Glad to be of help.
@LissaBaby989: I agree with your result, T (actually, t) = - 2.4. But think: what are we measuring with T or t? Can that quantity be negative?

Answer 16

A negative number taken to an even power gives a positive result

Answer 17

True, but we have already squared both sides, before attempting to solve for t. So that reason does not apply here.

Answer 18

im confused how the last steps go.. :/

Answer 19

-2.4-273=T =-275.4?

Answer 20

Hold. Reviewing the original problem, I saw that T represents temperature, not time. So there's no difficulty if T comes out to be negative. -2.4 degrees Celcius is roughly 25 degrees F, which is certainly possible.

Find that temperature, T, to the nearest degree.

If any part of the last few posts here is unclear for you, point them out, so that we can discuss them.

Answer 21

so T =25 degress F?

Answer 22

Yes. I need to ask you whether or not that sounds reasonable to you. Does it?

Answer 23

Not sure.