Find an equation for the linear function which has f(300)=1700 and f(800)=4300

Answer 1

Since the function f is linear we know that is given by the equation f(x)=Ax+B where A, B are constants to be found. Using the assumptions we obtain that A and B need to satisfy the system 300A+B=1700 and 800A+B=4300. Solving this for A and B we obtain A=26/5 and B=140. Thus, the linear function we are trying to find is given by the formula f(x)=(26/5)x+140.