Question

the function $f(c) = \frac{9}{5}c + 32$ is used to convert temperatures from celsius, $c$, to fahrenheit, $f(c)$. what is the temperature in fahrenheit when it is $22^circ$ celsius? round your answer to the nearest integer.
a. $40^circ$
b. $54^circ$
c. $72^circ$
d. $97^circ$

Explanation:

Step1: Identify the formula

The function is \( f(c) = \frac{9}{5}c + 32 \), where \( c \) is Celsius. We need to find \( f(22) \) (since \( c = 22^\circ \) Celsius).

Step2: Substitute \( c = 22 \) into the formula

First, calculate \( \frac{9}{5} \times 22 \). \( \frac{9}{5} \times 22 = \frac{198}{5} = 39.6 \).

Step3: Add 32 to the result

Now, add 32 to 39.6: \( 39.6 + 32 = 71.6 \).

Step4: Round to the nearest integer

\( 71.6 \) rounded to the nearest integer is 72.

Answer:

C. \( 72^\circ \)