Answer:the temperature at 1 p.M is 53 degrees.
Step-by-step explanation:
If the temperatures increased at a constant rate of 3 degrees per hour all day, it means that the temperature is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)
Where
a represents the first term of the sequence
n represents the number of terms.
d represents common difference.
From the information given,
d = 3 degrees
a = initial temperature = 32 degrees
n = 8 hours(from 6 am to 1 pm
Temperature at 1 pm would be T8
T8 = 32 + (8 - 1)3 = 32 + 7×3
T8 = 32 + 21 = 53 degrees