limits

[Yukina]

The temperature, T (?), of coffee t minutes after it is poured into a cup is modeled by the function T(t)=20+75e^(-0.08t), t>=0

If no one drinks the coffee, what will eventually happen to the coffee's temperature? Use limits to answer this. What do you think does this temperature represent?

Somebody help me ><

 

[tkhunny]

Have you considered graphing the function? You might find an asymptote.

 

[mmm4444bot]

You could also take the limit of function T as t approaches infinity.

\(\displaystyle T(t) = 20 + 75 \cdot \frac{1}{e^{0.08t}}\)

What happens to the ratio when the value of t gets really big?