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a a coffee is sitting on a desk cooling. It cools according to the function T= 70 ( 1 - 0.075) m where m is the time in minutes ( over the domain 0 <_ x <_ 15) an T is the tempature in celicus

a a coffee is sitting on a desk cooling It cools according to the function T 70 1 0075 m where m is the time in minutes over the domain 0 lt x lt 15 an T is the class=


Answer :

We are given the following exponential function

[tex]T=70(1-0.075)^m[/tex]

Where T is the temperature in degree celsius and m is the time in minutes.

Let us find the temperature after 10 minutes.

Substitute m = 10 into the above function

[tex]\begin{gathered} T=70(1-0.075)^{10} \\ T=70(0.925)^{10} \\ T=70(0.45858)^{} \\ T=32.1\degree \end{gathered}[/tex]

Therefore, the temperature of the coffee is 32.1° after 10 minutes.

Option B is the correct answer.

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