Question

1. the formula for converting from degrees celsius to degrees fahrenheit is $f = \frac{9}{5}c + 32$

convert the following to degrees fahrenheit (if necessary round your answer to two decimal places):
a. $10\\ ^\circ c$
b. $-22\\ ^\circ c$
(handwritten notes: do division and write as decimal)

Explanation:

Step1: Substitute $C=10$ into formula

$F = \frac{9}{5} \times 10 + 32$

Step2: Calculate multiplication first

$\frac{9}{5} \times 10 = 18$

Step3: Add to get final value

$F = 18 + 32 = 50.00$
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Step1: Substitute $C=-22$ into formula

$F = \frac{9}{5} \times (-22) + 32$

Step2: Calculate multiplication first

$\frac{9}{5} \times (-22) = -39.6$

Step3: Add to get final value

$F = -39.6 + 32 = -7.60$

Answer:

a. $50.00^\circ\text{F}$
b. $-7.60^\circ\text{F}$