Question

Help me, it's in the picture.

Answer 1

The initial temperature and the temperature after 18 minutes of the soda are 16 °C and 4.195 °C, respectively.

How to analyze an exponential function that models a cooling process

Herein we find a trascendent function that models the cooling process of a soda within a cooler, whose form is described below:

T(t) = $T_{f} + \Delta T \cdot e^{k\cdot t}$, k < 0     (1)

Where:

• $T_{f}$ - Final temperature, in degrees Celsius.
• ΔT - Temperature change, in degrees Celsius.
• k - Cooling constant, in 1 / °C.
• t - Time, in minutes.

If we know that $T_{f}$ = - 7 °C, ΔT = 23 °C and k = - 0.04 1 / °C, then initial and resulting temperatures are:

Initial temperature

T(0) = - 7 + 23

T(0) = 16 °C

Temperature after 18 minutes

T(18) = - 7 + 23 · $e^{-0.04 \cdot 18}$

T(18) = 4.195 °C

The initial temperature and the temperature after 18 minutes of the soda are 16 °C and 4.195 °C, respectively.

To learn more on cooling processes: https://brainly.com/question/4385546

#SPJ1