The temperature of a bowl is 195'F when it is served. Its temperature decreases to 151'F after 8 minutes. IF the temperature decreases at a constant rate, calculate the number of minutes needed for the soup to cool to 85'F. Is the answer 20 minutes?
Can someone please check because I ave no idea if I am right. Is the answer 20 minutes?
yes ... that is the TOTAL cooling time
Thank you!
To calculate the number of minutes needed for the soup to cool to 85'F, we can assume that the temperature decreases at a constant rate.
Let's label the initial temperature as t1 (195'F) and the corresponding time as time1 (0 minutes). We can use the given information to form a linear equation:
(t2 - t1) / (time2 - time1) = (t3 - t1) / (time3 - time1)
Where t2 is the temperature after 8 minutes (151'F), and time2 is 8 minutes. t3 is the target temperature (85'F), and time3 is the time needed to reach that temperature.
Plugging in the values, we get:
(151 - 195) / (8 - 0) = (85 - 195) / (time3 - 0)
-44 / 8 = -110 / time3
Simplifying the equation:
-5.5 = -110 / time3
To find time3, we can cross-multiply:
-5.5 * time3 = -110
Dividing both sides by -5.5, we get:
time3 = -110 / -5.5
time3 = 20
Therefore, it would take 20 minutes for the soup to cool to 85'F, making your answer correct.