Extra problem $1$: A flow measuring transmitter has a linear relationship. The input range is $0$ to $10$ liters$/$min and the output range is $4$ to $20mA.$ Find a$)$ the equation for output I in terms of input $F,b)$ output I when input $F=6$ liters $\frac{?}{\text{m}\text{i}\text{n}},c)$ input $F$ when output I $=15mA.$