The time, T seconds it takes a water heater to boil a constant mass of water is inversely proportional to the power, P watts, of the water heater.
When P=1400, T=360
Find the value of T when P=900
I get a huge number of T=453600000 - i'm sure i'm using the correct method and therefore this should be the correct answer- just checking to see if you guys get the same answer!
Thanks
2006-10-20 21:11:36 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
T2/T1 = P1/P2, or P1T1 = P2T2
Since you know all but T2,
T2 = (1400)(360)/900 = 14*40 = 560
2006-10-20 21:46:57 · answer #1 · answered by Helmut 7 · 0⤊ 0⤋
since P is inversely proportional to T
therefore,
P = k/T.... where k is a constant
hence,
k = 1400*360
k = 5040000
Now, we have to find the value of T when P = 900
P = k/T
therefore
T = k/9
T = 5040000/900
Hence, T = 5600
2006-10-20 22:16:25 · answer #2 · answered by aazib_1 3 · 0⤊ 0⤋
The result i obtained is T=560. I got this by the following calculation ((1400*360)/900). Observe the usuage of brackets carefully!!! Since the relation between the power and time is inverse. The slope of the straight line on the cartesian plane is negative.
2006-10-20 21:34:31 · answer #3 · answered by The Big S 2 · 0⤊ 0⤋
T is inversely proportional to P.
therefore T=k*1/P, where k is a constant of variation.
therefore k=TP.
when P=1400, T=900
therefore k=1400*900=1260000.
when P=900, T=?
k=TP
therefore 1260000=T*900
therefore T=1260000/900=1400.
The answer is T=1400.
2006-10-21 05:09:08 · answer #4 · answered by akubhai 1 · 0⤊ 0⤋
P : T
1400: 360
3.88889: 1
1764000000: 453600000
p= 1764000000 when t = 453600000
now ten pionts plz
2006-10-20 21:32:51 · answer #5 · answered by sunny k 2 · 0⤊ 0⤋
Helmut's answer is correct.
2006-10-20 23:48:34 · answer #6 · answered by Anonymous · 0⤊ 0⤋
3500 ?
2006-10-20 21:15:11 · answer #7 · answered by Anonymous · 0⤊ 0⤋