O EXPONENTIAL AND LOGARITHMIC FUNCTIONSFinding the time given an expoonential function with base e that m...Ahmad places a bottle of water inside a cooler. As the water cools, its temperature C (t) in degrees Celsius is given by the followingfunction, where t is the number of minutes since the bottle was placed in the cooler.C(t)=9+15e-0.025tAhmad wants to drink the water when it reaches a temperature of 20 degrees Celsius. How many minutes should he leave it in thecooler?Round your answer to the nearest tenth, and do not round any intermediate computations.minutes?X

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Asked Sep 27, 2019
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O EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Finding the time given an expoonential function with base e that m...
Ahmad places a bottle of water inside a cooler. As the water cools, its temperature C (t) in degrees Celsius is given by the following
function, where t is the number of minutes since the bottle was placed in the cooler.
C(t)=9+15e-0.025t
Ahmad wants to drink the water when it reaches a temperature of 20 degrees Celsius. How many minutes should he leave it in the
cooler?
Round your answer to the nearest tenth, and do not round any intermediate computations.
minutes
?
X
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O EXPONENTIAL AND LOGARITHMIC FUNCTIONS Finding the time given an expoonential function with base e that m... Ahmad places a bottle of water inside a cooler. As the water cools, its temperature C (t) in degrees Celsius is given by the following function, where t is the number of minutes since the bottle was placed in the cooler. C(t)=9+15e-0.025t Ahmad wants to drink the water when it reaches a temperature of 20 degrees Celsius. How many minutes should he leave it in the cooler? Round your answer to the nearest tenth, and do not round any intermediate computations. minutes ? X

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Expert Answer

Step 1

To determine the time t when the temperature of bottle inside the cooler is 20 degree Celsius.

Step 2

Given:

The temperature of the bottle in degree Celsius, t minutes after it is being place inside the cooler is given by the formula:

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C(t)9+15e0.0256

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Step 3

Consider that the required temperature of the bottle is 20 degree Celsius.

Subs...

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20 = 9 15e-0.025 20 9 150.025? 11 =15e-0.0252 11 e0.025 15 11 -0.025t- ln In (e025c) {Take log on both the sides 15 11 -0.025t n 15 11 n 15 t : -0.025

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MathCalculus

Functions