SOLUTION: whose average rate of change between any two points is always 5 if f(0)=0 define F(x)

Algebra ->  Test -> SOLUTION: whose average rate of change between any two points is always 5 if f(0)=0 define F(x)      Log On


   

Question 941518: whose average rate of change between any two points is always 5 if f(0)=0 define F(x)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=mx%2Bb
average rate of change between any two points is the slope of a line m

so, m=5
then we have f%28x%29=5x%2Bb

if f%280%29=0 means if x=0 => f%28x%29=y=0 and that means y-intercept is at origin and b=0
f%28x%29=5x%2B0
f%28x%29=5x is your answer