Question

If the recommended temperature range for a room is greater than ${\frac{35}{3}}^{o}C$ and lesser than ${\frac{205}{9}}^{o}C$, then convert it into fahrenheit scale.
where, x represents the temperature inside the room.

• A. ${21}^{o}F$ ≤ x ≤ ${71}^{o}F$
• B. ${53}^{o}F$ ≤ x ≤ ${73}^{o}F$
• C. ${53}^{o}F$ ≤ x ≤ ${77}^{o}F$
• D. ${35}^{o}F$ ≤ x ≤ ${73}^{o}F$

Answer 1

The correct option is B ${53}^{o}F$ ≤ x ≤ ${73}^{o}F$

Let the temperature inside the room be x.

The given temperature scale is:
${\frac{35}{3}}^{o}C$ ≤ x ≤ ${\frac{205}{9}}^{o}C$

We know,
[$F={\frac{9}{5}}^{o}C+32$]

On substituing,
$\frac{9}{5}\times \frac{35}{3}+32$ ≤ x ≤ $\frac{9}{5}\times \frac{205}{9}+32$

${53}^{o}F$ ≤ x ≤ ${73}^{o}F$