Answer:
Explanation:
If the temperature is already 74 degrees and it drops/decreases by 3 degrees each hour, it means that the temperature I'd decreasing in an arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 74 degrees
d = - 3 degrees (it is decreasing)
Tn = temperature after n hours.
The equation becomes
Tn = 74 - 3(n - 1)
Part B
The temperature after 4 hours would be T4
T4 = 74 - 3(4 - 1) = 74 - 3 × 3
T4 = 65 degrees
Part C
50 = 74 - 3(n - 1)
50 = 74 - 3n + 3
3n = 74 + 3 - 50 = 27
n = 27/3 = 9 hours