Question

A thermometer reading 8°C is brought into a room with a constant temperature of 37°C. If the thermometer reads 15ºC after 3 minutes, what will it read after being in the room for 5 minutes? For 10 minutes?

a) 18°C; 24°C
b) 20°C; 32°C
c) 21°C; 41°C
d) 23°C; 51°C

Answer 1

The thermometer will read 12.66°C after 5 minutes and 24.31°C after 10 minutes.

Step-by-step explanation:

To solve this problem, we can use the concept of constant temperature. The thermometer initially reads 8°C and after 3 minutes in the room with a constant temperature of 37°C, it reads 15°C. This means there is a temperature difference of 7°C after 3 minutes. We can calculate the change in temperature per minute by dividing the temperature difference by the number of minutes, which is 7°C/3 minutes = 2.33°C/minute.

To find the temperature after 5 minutes, we can multiply the change in temperature per minute by the number of additional minutes, which is 2.33°C/minute * 2 minutes = 4.66°C. Adding this to the initial temperature of 8°C, we get a final temperature of 12.66°C.

Similarly, for 10 minutes, we can multiply the change in temperature per minute by the number of additional minutes, which is 2.33°C/minute * 7 minutes = 16.31°C. Adding this to the initial temperature of 8°C, we get a final temperature of 24.31°C.