Answer:
5
Step-by-step explanation:
Consider the given function
\(f(x)=2(5)^x\) .... (1)
It is given that the graph of function passes through the points (1, 10), (2, 50), and (3, 250).
The general form of an exponential function is
\(f(x)=ab^x\) ..... (2)
where, a is the initial value and b is the multiplicative rate of change of the function.
On comparing (1) and (2) we get
\(a=2,b=5\)
Therefore, the initial value of the function is 2 and multiplicative rate of change of the function is 5.
