Question

question 13 (1 point)
use the formula, ( ^ { circ } f = \frac { 9 } { 5 } ( k - 273 ) + 32 ) to convert 100 k to ( ^ { circ } f ).
-61 ( ^ { circ } f )
-254 ( ^ { circ } f )
-279 ( ^ { circ } f )
-64 ( ^ { circ } f )

Explanation:

Step1: Substitute \(K = 100\) into the formula

$$\begin{align*} ^{\circ}F&=\frac{9}{5}(100 - 273)+32\\ \end{align*}$$

Step2: Calculate the value inside the parentheses

$$\begin{align*} 100-273&=- 173 \end{align*}$$

Step3: Multiply by \(\frac{9}{5}\)

$$\begin{align*} \frac{9}{5}\times(-173)&=\frac{-1557}{5}=-311.4 \end{align*}$$

Step4: Add 32

$$\begin{align*} -311.4 + 32&=-279.4\approx - 279^{\circ}F \end{align*}$$

Answer:

-279 °F