Question

Convert the following range from celcius to fahrenheit scale.

${\frac{25}{3}}^{o}C$ ≤ x ≤ ${\frac{75}{3}}^{o}C$

• A. ${27}^{o}F$ ≤ x ≤ ${57}^{o}F$
• B. ${27}^{o}F$ ≤ x ≤ ${72}^{o}F$
• C. ${47}^{o}F$ ≤ x ≤ ${72}^{o}F$
• D. ${47}^{o}F$ ≤ x ≤ ${77}^{o}F$

Answer 1

The correct option is D ${47}^{o}F$ ≤ x ≤ ${77}^{o}F$

Given the temperature scale:
${\frac{25}{3}}^{o}C$ ≤ x ≤ ${\frac{75}{9}}^{o}C$

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

On substituing,
$\frac{9}{5}\times \frac{25}{3}+32$ ≤ x ≤ $\frac{9}{5}\times \frac{75}{3}+32$

(15+32) ≤ x ≤ (45+32)

${47}^{o}F$ ≤ x ≤ ${77}^{o}F$