Newton's Law of Cooling:

Temperature given at a time
Time
Surrounding temperature
Initial temperature
Constant (Euler's number) ≈ 2.72
Constant
Using this information, find the value of
, to the nearest thousandth, then use the resulting equation to determine the temperature of the water cup after 4 minutes.
First, plug in the given values in the equation and solve for
:
197°,
1.5 minutes,
70° and
210°

≈

Let the temperature of the water cup after
minutes be

Now, let's plug the new time and
constant in the equation and solve for
:




![x=70+{\frac{140}{\sqrt[50]{e^(13)}}\\](https://img.qammunity.org/2021/formulas/mathematics/high-school/e3ot4bi2b162ni6sovy81vzk5j9yx1n0ak.png)

≈

Temperature of water after 4 minutes is 178°
sorry if there's any misspelling or wrong step but I hope my answer is correct ':3