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Chapter 1: Q14. Solving Absolute Value Equations (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 2F鈭�

The ham you are baking needs to reach an internal temperature of 160F鈭�. If the thermometer reads 160F鈭�, write an equation to determine the least and greatest temperature of the meat.

Short Answer

Expert verified

An equation with absolute value is x-160=2

Step by step solution

01

- Define Variable

Let the actual internal temperature of ham be xF鈭�

02

- Meaning of given statement

Internal temperature of ham is xF鈭�

Temperature shown on thermometer is 160F鈭�

Thermometer鈥檚 accuracy is 卤2F鈭�

03

- Write absolute value equation

As thermometer reads 160F鈭�, so minimum temperature is 2F鈭�less than and maximum temperature is 2F鈭�more than 160F鈭�. Write it in equation form as shown below

x=160鈭�2orx=160+2x鈭�160=鈭�2orx鈭�160=2

In absolute value equation it can be written as

x-160=2

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