The temperature of chicken soup is 192.7°f. as it cools, the temperature of the soup decreases 2.3°f per minute. part a what is the temperature in degrees fahrenheit of the soup after 25 minutes? a. 27.3°f b. 57.5°f c. 135.2°f d. 250.2°f part b how many minutes will it take for the soup to cool to 100.7°f? enter the number in the box.

Part A: option C. 135.2°F

Part B: 40 min

Step-by-step explanation:

Part A: What is the temperature in degrees Fahrenheit of the soup after 25 minutes?

1. Set an equation:

Temperature = Initial temperature - decrease in temperaturedecrease in temperature = rate of decrease × timeVariables:

        temperature: T

        initial temperature: To = 192.7°F

        decrease rate: 2.3°F / min

        time = t

Equation: T = 192.7°F - 2.3(°F/min) × t

2. Substitute t = 25 min

T = 192.7°F - 2.3 (°F/min) × 25 min = 135.2 °F

Part B. How many minutes will it take for the soup to cool to 100.7°F?

2. Solve the equation for t

T = 192.7°F - 2.3(°F/min) × t ⇒ t = (192.7 °F - T) / (2.3 °F/min)

3. Substitute T = 100.7°F

t = (192.7°F - 100.7°F) / (2.3 °F/min) = 40 min

The density curve must satisfy two important conditions.

These two conditions are:
1- The total area under the density curve MUST BE equal to 1.
     (Area total = 1)
2- Every point that is on the curve must have a vertical height that is equal to or greater than zero
(vertical height for each point ≥ zero)