Question

A coffee is sitting on Mr. Hunt's desk cooling. It cools according to the function T=70(0.80)^x+20, where x is the time in minutes and T is the temperature in degree Celsius.

Answer 1

Answer:

90 degrees

Step-by-step explanation:

Complete question

A coffee is sitting on Mr. Hunt's desk cooling. It cools according to the function T=70(0.80)^x+20, where x is the time in minutes and T is the temperature in degree Celsius. WHAT IS THE INITIAL temperature of the coffee

The initial temperature occurs at x = 0

Substitute x = 0 into the expression;

T=70(0.80)^x+20

T =70(0.80)^0+20

Since any value raise to power of zero is 1, hence;

T = 70(1)+20

T = 70+20

T = 90 degree Celsius

Hence the initial temperature of the coffee is 90 degrees

Answer 2

The initial temperature of the coffee is 90 degrees.

The function is represented as:

$\mathbf{T = 70(0.80)^x + 20}$

At the initial temperature, x = 0.

So, we have:

$\mathbf{T = 70(0.80)^0 + 20}$

Expand

$\mathbf{T = 70 \times 1 + 20}$

Multiply

$\mathbf{T = 70 + 20}$

Add

$\mathbf{T = 90}$

Hence, the initial temperature of the coffee is 90 degrees.

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