A can of soda is placed inside a cooler. As the soda cools, its temperature T(x) in degrees Celsius is given by the following ex

Question

2 years ago

8

A can of soda is placed inside a cooler. As the soda cools, its temperature T(x) in degrees Celsius is given by the following ex

ponential function, where is the number of minutes since the can was placed in the cooler.
T(x)=-22+44e^-0.03x

Find the initial temperature of the soda and its temperature after 18 minutes.

Mathematics

1 answer:

Lana71 [14] · Answer 1 · 2022-10-23T20:46:19+03:00

Lana71 [14]2 years ago

6 0

Answer:

Ans: -21.87 ≅ -22°C

Step-by-step explanation:

T(x)=-22+44e^-0.03x

Initial temperature (x = 0):

T(0) = = -22 + 44e-0.03(0) = -22 + 44(1) = 22°C

After 18 minutes (x = 18):

T(18) = -22 + 44e-0.03(18) = -21.87°C ≅ -22°C