McGraw Hill Glencoe Algebra 2, 2012
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McGraw Hill Glencoe Algebra 2, 2012 View details
1. Expressions and Formulas
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Exercise 24 Page 7

Practice makes perfect
a

We are given a formula to convert temperatures from degrees Fahrenheit to degrees Celsius.

C=5(F-32)/9We are also given the room temperature range in degrees Fahrenheit, and we are asked to convert it to degrees Celsius. We will convert the lower and upper bounds separately. The lower bound is given as 64^(∘)F, so let's substitute this into the conversion formula.

C=5(F-32)/9
C=5( 64-32)/9
â–¼
Simplify right-hand side
C=5* 32/9
C=160/9
C≈ 17.8

We can do the same with the upper bound, 73^(∘)F.

C=5(F-32)/9
C=5( 73-32)/9
â–¼
Simplify right-hand side
C=5* 41/9
C=205/9
C≈ 22.8

The room temperature commonly ranges from 17.8^(∘)C to 22.8^(∘)C.

b

We have two options. We can convert the given temperature, 42^(∘)C, to degrees Fahrenheit, and compare the result with the given normal body temperature. Or, we can convert the normal body temperature, 98.6^(∘)F, to degrees Celsius and compare the result with the given temperature. Let's do the second option.

C=5(F-32)/9
C=5( 98.6-32)/9
â–¼
Simplify right-hand side
C=5* 66.6/9
C=333/9
C=37

We got that the average normal human body temperature is 37^(∘)C. Since 42>37, this means that a temperature of 42^(∘)C indicates a fever.