question 13 a comfortable thermostat setting for a home air - conditioner is between 71° and 76°. express…

question 13 a comfortable thermostat setting for a home air - conditioner is between 71° and 76°. express the temperature range in degrees celsius, °c, where f = 1.8c + 32. round to 1 decimal place. question help: ebook written example

question 13 a comfortable thermostat setting for a home air - conditioner is between 71° and 76°. express the temperature range in degrees celsius, °c, where f = 1.8c + 32. round to 1 decimal place. question help: ebook written example

Answer

Explanation:

Step1: Set up two - equations for the lower and upper bounds.

For $F = 71$, we have $71=1.8C + 32$. Solving for $C$: [ \begin{align*} 71-32&=1.8C\ 39&=1.8C\ C&=\frac{39}{1.8}\approx 21.7 \end{align*} ]

Step2: Solve for $C$ when $F = 76$.

For $F = 76$, we have $76 = 1.8C+32$. Solving for $C$: [ \begin{align*} 76 - 32&=1.8C\ 44&=1.8C\ C&=\frac{44}{1.8}\approx 24.4 \end{align*} ]

Answer:

The temperature range is $21.7^{\circ}C\leq C\leq24.4^{\circ}C$