Question

Sneha uses the relationship shown to change between temperatures in degrees Fahrenheit $\left({}^{\circ }F\right)$ and temperatures in degreesCelsius $\left({}^{\circ }C\right)$Sasha thinks that ${30}^{\circ }C$ ishigher than ${82}^{\circ }F$ .Is she correct? Show how you worked out your answer.

Relationship used by Sneha: $5f=9C+160$ where: $f$ is the temperature in degrees Fahrenheit ( $\left({}^{\circ }F\right)$

C is the temperature in degrees Celsius $\left({}^{\circ }C\right)$

Answer 1

Given,

$5f=9C+160$

$C={30}^{\circ }$

$5f=9\times 30+160$

$5f=210+160$

$f=86$

it $F={82}^{\circ }f$

then $82\times 5=96+16$

$C={21.1}^{\circ }c$

Hence ${30}^{\circ }c>82f$