Q16. FOOD聽For exercise 14-16, use th... [FREE SOLUTION]

Chapter 1: Q16. (page 30)

FOOD
For exercise 14-16, use the following information.
A meat thermometer is used to assure that a safe temperature has been reached to destroy bacteria. Most meat thermometers are accurate to within plus or minus $2 {}^{鈭�}F$
16. To what temperature reading should you bake a ham to ensure that the minimum internal temperature is reached? Explain.

Short Answer

Expert verified

Since, thermometer鈥檚 accuracy is $卤 2 {}^{鈭�}F$ . So on baking ham up to $162 {}^{鈭�}F$ , one can check that actual temperature might be $162 {}^{鈭�}F - 2 {}^{鈭�}F = 160 {}^{鈭�}F$ . Thus, ham needs to be baked till thermometer shows $162 {}^{鈭�}F$ to ensure that minimum temperature is reached.

Step by step solution

- Meaning of given statement

Let the internal temperature of ham is $x {}^{鈭�}F$

Ham needs to reach an internal temperature of $160 {}^{鈭�}F$

Thermometer鈥檚 accuracy is $卤 2 {}^{鈭�}F$

- Write absolute value equation

As ham needs to reach an internal temperature of $160 {}^{鈭�}F$ but temperature shown on thermometer is $2 {}^{鈭�}F$ less than or more than $160 {}^{鈭�}F$ . So in equation form as shown below

$\begin{matrix} x = 160 鈭� 2 or x = 160 + 2 \\ x 鈭� 160 = 鈭� 2 or x 鈭� 160 = 2 \end{matrix}$

In absolute value equation it can be written as

$|x - 160| = 2$

- Simplify x-160=2

To simplify the equation use the definition of absolute value equation as shown below

$\begin{matrix} x 鈭� 160 = 2 \\ x = 160 + 2 \\ x = 162 \end{matrix}$ or $\begin{matrix} x 鈭� 160 = 鈭� 2 \\ x = 160 鈭� 2 \\ x = 158 \end{matrix}$

Thus ham needs to be baked till thermometer shows $162 {}^{鈭�}F$ to ensure that minimum temperature is reached.

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Short Answer

Step by step solution

- Meaning of given statement

- Write absolute value equation

- Simplify x-160=2

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