A researcher is cooling a metal. She cools the metal so that the temperature of the metal drops at a constant rate. After 11 minutes of cooling, the metal is 321 c. After 21 minutes, the metal is 131 c.
(a)Choose the statement that best describes how the time and the temperature of the metal are related. Then fill in the blank.
As time increases, the temperature of the metal decreases.
As time increases, the temperature of the metal increases.
(b)What was the temperature of the metal when the researcher started cooling it?
To find the temperature of the metal when the researcher started cooling it, we need to determine the rate at which the temperature decreases.
We can do this by calculating the change in temperature over the given time period:
Change in temperature = final temperature - initial temperature
For 11 minutes: 321°C - initial temperature = 0°C (since the temperature drops to 0°C after 11 minutes)
Therefore, the initial temperature = 321°C - 0°C = 321°C.
So, the temperature of the metal when the researcher started cooling it was 321°C.