The temperature of chicken soup is 192.7 degrees F. As it cools, the temperature of the soup decreases 2.3 degrees F per minute. What is the temperature of the soup after 25 minutes?

Answer:the temperature of the soup after 25 minutes is 137.5 degrees

Step-by-step explanation:

As it cools, the temperature of the soup decreases 2.3 degrees F per minute. This is a linear rate. The rate at which the temperature is decreasing is in 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 = 192.7 degrees

d = - 2.3 degrees (it is decreasing)

n = 25

We want to determine the value if the 25th term, T25. Therefore,

T25 = 192.7 - 2.3 (25 - 1) = 192.7 - 2.3*24

T25 = 137.5 degrees

The answer to your question is Final temperature = 135.2 °F

Step-by-step explanation:

Data

Initial temperature = T₀ = 192.7°F

Rate of decreasement = 2.3°F x t

Final temperature = T₂ = ?

Final time = t₂ = 25 min

Process

1. - Write an equation

T₂ = T₀ - 2.3 t₂

2. - Substitute values given in the formula

T₂ = 192.7 - (2.3 x 25)

3. - Simplify and result

T₂ = 192.7 - 57.5

T₂ = 135.2 °F