The temperature at 6 a. m. was 32 degrees. if the temperatures increased at a constant rate of 3 degrees per hour all day, what was the temperature at 1 p. m. ?

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

yes.. it's proven to be 36.