The temperature was (-15) degrees Fahrenheit at 6:00 am. The temperature rose 4 degrees Fahrenheit every hour until 12:00 pm. At what time did the temperature reach 1 degree Fahrenheit?
Answers
Given :- The temperature was (-15) degrees Fahrenheit at 6:00 am. The temperature rose 4 degrees Fahrenheit every hour until 12:00 pm.
To Find :- At what time did the temperature reach 1 degree Fahrenheit ?
Solution :-
→ Temperature at 6 AM = (-15) F = first term
→ Temperature rose every hour = 4 F = common difference .
→ Tn = 1 F
so ,
→ Tn = a + (n - 1)d
→ 1 = (-15) + (n - 1)4
→ 1 = (-15) + 4n - 4
→ 1 = 4n - 19
→ 4n = 1 + 19
→ 4n = 20
→ n = 5 hours.
then, at 5th hour the temperature becomes 1 F, or 5th term of AP is +1 and 1st term is (-15) . then , from first term our 4th term is +1 .
therefore,
→ Required time = 6 AM + 4 hours = 10 AM (Ans.)
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Given : The temperature was (-15) degrees Fahrenheit at 6:00 am.
The temperature rose 4 degrees Fahrenheit every hour until 12:00 pm.
To Find : At what time did the temperature reach 1 degree Fahrenheit?
Solution:
-15° F temperature at 6 : 00 AM
The temperature rose 4 degrees Fahrenheit every hour
Hence
F( T) = -15 + 4T
T = Time in hrs from 6 : 00 AM
F(t) = Temperature after T hrs from 6 : 00 AM
temperature reach 1 degree Fahrenheit
=> F(t) = 1
=> 1 = -15 + 4T
=> 16 = 4T
=> T = 4
4 hrs from 6 : 00 AM
=> 6 + 4 = 10 AM
At 10 AM the temperature reach 1 degree Fahrenheit
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