Question

A cup of hot water is left out to cool. The water is currently 19°C above room temperature. If the heat difference decreases by 5% every minute, what will the difference be in 13 minutes?

If necessary, round your answer to the nearest tenth.

Answer 1

The difference in heat after 13 minutes will be approximately 10.1°C.

Step-by-step explanation:

To calculate the difference in heat after 13 minutes, we need to apply the 5% reduction every minute. Let's start with the initial heat difference of 19°C. After 1 minute, the difference will decrease by 5% to 18.05°C. After another minute, it will decrease by another 5% to 17.15°C. We can continue this process for 13 minutes to find the final heat difference.

After 13 minutes, the heat difference will be approximately 10.1°C. (Note: This calculation assumes a linear decrease in heat difference over time.)