Question

A function is given such that
$t\left(c\right)=\frac{9c}{5}+32$.
Match the followings for this function:

• A. $14$
• B. $32$
• C. $82.4$
• D. $100$

Answer 1

Here the given function is
$t\left(c\right)=\frac{9c}{5}+32$
At $c=0$
$t\left(0\right)=\frac{9\times 0}{5}+32$
$t\left(0\right)=32$

At $c=28$
$t\left(28\right)=\frac{9\times 28}{5}+32$
$t\left(28\right)=50.4+32$
$t\left(28\right)=82.4$

At $c=-10$
$t(-10)=\frac{9\times -10}{5}+32$
$t(-10)=-18+32$
$t(-10)=14$

When $t\left(c\right)=212$ , $c$ will be
$212=\frac{9c}{5}+32$
$212-32=\frac{9c}{5}$
$180=\frac{9c}{5}$
$c=100$