4.) The temperature of a food in a freezer has been shown to decrease by 1.7% each minute.a.) If a chicken breast is put in the freezer with a current temperature of 190 degreesFahrenheit, what will be the temperature after 20 minutes?b.) How long after you place the chicken breast in the freezer will it be frozen? (use graph)

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RohailT758561 RohailT758561 · Answer 1 · 2022-10-29T03:08:06+02:00

Given:

Rate of decrease each minute = 1.7% = 0.017

Let's solve for the following:

• (a). Given:

Initial temperature = 190 degrees

Let's find the temperature after 20 minutes.

Apply the exponential decay formula:

[tex]y=a(1-r)^t[/tex]

Where:

t is the time in minutes = 20 mins

a is the initial temperature = 190 degrees

r is the decay rate = 0.017

The equation below represents this situation:

[tex]y=190(1-0.017)^t[/tex]

Plug in values into the formula and solve for y.

We have:

[tex]\begin{gathered} y=190(1-0.017)^{20} \\ \\ y=190(0.983)^{20} \\ \\ y=190(0.70969) \\ \\ y=134.84 \end{gathered}[/tex]

Therefore, the temperature after 20 minutes will be:

134.84 degrees Fahrenheit.

• (b). How long after you place the chicken breast in the freezer will it be frozen?

We have the graph below:

The chicken will get frozen when the temperature gets to 0 degrees.

From the graph, it will get frozen at 750 minutes

ANSWER:

• (a). 134.84 degrees Fahrenheit

,

• (b). 750 minutes.