Question

the function f(x)=2•5x can be used to represent the curve through the points (1,10) (2,50) and (3,250). What is the multiplicative rate of change of the function.

Answer 1

Answer:- the multiplicative rate of change of the function=5

Explanation:-

Given function: $f(x)=2\cdot5^x$ on coparing it with exponential function $Ab^x$,here A=2 is the initial amount of the function and b=5 is the multiplicative rate of growth.

Alternatively,

Given points=(1,10) (2,50) and (3,250)

We can see that

at x=1, y=10=2×5

at x=2, y=50=2×5×5

at x=3, y=250=2×5×5×5

⇒  the multiplicative rate of change of the function=5

Answer 2

The answer would be 5