Question

help, please 20 points

A deli sandwich is placed inside a cooler. As the sandwich cools, its temperature C(t) in degrees Celsius after t minutes is given by the following exponential function.

C(t) = 21 (0.91)^t

(a) find the initial temperature: ___C

(b) does the function represent growth or decay? growth or decay

(c) by what percent does the temperature change each minute? ____ %

Answer 1

The initial temperature was 21 degrees Celsius, the function represents the decay and the rate is 9%

What is exponential decay?

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have:

A deli sandwich is placed inside a cooler. As the sandwich cools, its temperature C(t) in degrees Celsius after t minutes:

The function is:

$\rm C(t) = 21 (0.91)^t$

a) To find the initial temperature:

Plug t = 0

C(0) = 21 degree Celsius

b) The function represents the decay because the base of the exponent is less than 1.

c) To find the rate compared with the exponential decay function:

$\rm A = a(1 - r)^t$

1 - r = 0.91

r = 0.09

or

r = 9%

Thus, the initial temperature was 21 degrees Celsius, the function represents the decay and the rate is 9%

Learn more about the exponential decay here:

brainly.com/question/14355665

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